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106743403404 = 2232114138916901
BaseRepresentation
bin110001101101001100…
…1110001001110001100
3101012112010112201200100
41203122121301032030
53222102302402104
6121012013331100
710466125646511
oct1433231611614
9335463481610
10106743403404
11412a6960970
1218830196a90
13a0b1903581
1452488a5308
152b9b26a139
hex18da67138c

106743403404 has 144 divisors (see below), whose sum is σ = 302325397920. Its totient is φ = 31474560000.

The previous prime is 106743403357. The next prime is 106743403409. The reversal of 106743403404 is 404304347601.

It is a super-2 number, since 2×1067434034042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106743403409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6307354 + ... + 6324254.

It is an arithmetic number, because the mean of its divisors is an integer number (2099481930).

Almost surely, 2106743403404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106743403404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151162698960).

106743403404 is an abundant number, since it is smaller than the sum of its proper divisors (195581994516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106743403404 is a wasteful number, since it uses less digits than its factorization.

106743403404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 106743403404 in words is "one hundred six billion, seven hundred forty-three million, four hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 389 396 451 492 738 778 902 1167 1353 1476 1556 1804 2334 2706 3501 4059 4279 4668 5412 7002 8118 8558 12837 14004 15949 16236 16901 17116 25674 31898 33802 38511 47847 50703 51348 63796 67604 77022 95694 101406 143541 152109 154044 175439 185911 191388 202812 287082 304218 350878 371822 526317 557733 574164 608436 692941 701756 743644 1052634 1115466 1385882 1578951 1673199 2078823 2105268 2230932 2771764 3157902 3346398 4157646 6236469 6315804 6574489 6692796 7622351 8315292 12472938 13148978 15244702 19723467 22867053 24945876 26297956 30489404 39446934 45734106 59170401 68601159 72319379 78893868 91468212 118340802 137202318 144638758 216958137 236681604 269554049 274404636 289277516 433916274 539108098 650874411 808662147 867832548 1078216196 1301748822 1617324294 2425986441 2603497644 2965094539 3234648588 4851972882 5930189078 8895283617 9703945764 11860378156 17790567234 26685850851 35581134468 53371701702 106743403404