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106551104 = 26111729307
BaseRepresentation
bin1100101100111…
…01011101000000
321102111100122012
412112131131000
5204234113404
614323432052
72432445422
oct626353500
9242440565
10106551104
1155166470
122b825628
13190c85ba
1410218812
15954aa6e
hex659d740

106551104 has 112 divisors (see below), whose sum is σ = 253471680. Its totient is φ = 43868160.

The previous prime is 106551101. The next prime is 106551113. The reversal of 106551104 is 401155601.

It is a super-2 number, since 2×1065511042 = 22706275527237632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106551104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106551101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346919 + ... + 347225.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 2106551104 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 106551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126735840).

106551104 is an abundant number, since it is smaller than the sum of its proper divisors (146920576).

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

106551104 is a wasteful number, since it uses less digits than its factorization.

106551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 106551104 is about 10322.3594202101. The cubic root of 106551104 is about 474.0811103460.

The spelling of 106551104 in words is "one hundred six million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 88 116 136 176 187 232 272 307 319 352 374 464 493 544 614 638 704 748 928 986 1088 1228 1276 1496 1856 1972 2456 2552 2992 3377 3944 4912 5104 5219 5423 5984 6754 7888 8903 9824 10208 10438 10846 11968 13508 15776 17806 19648 20416 20876 21692 27016 31552 35612 41752 43384 54032 57409 71224 83504 86768 97933 108064 114818 142448 151351 167008 173536 195866 216128 229636 284896 302702 334016 347072 391732 459272 569792 605404 783464 918544 1210808 1566928 1664861 1837088 2421616 3133856 3329722 3674176 4843232 6267712 6659444 9686464 13318888 26637776 53275552 106551104