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106101640302 = 23721979240433
BaseRepresentation
bin110001011010000100…
…1101000110001101110
3101010212101221210012120
41202310021220301232
53214244004442202
6120424210213410
710444204030200
oct1426411506156
9333771853176
10106101640302
1140aa7678839
1218691284266
13a00b9747a8
1451c756a770
152b5ec4d0bc
hex18b4268c6e

106101640302 has 96 divisors (see below), whose sum is σ = 263130969600. Its totient is φ = 28355588352.

The previous prime is 106101640277. The next prime is 106101640327. The reversal of 106101640302 is 203046101601.

It is an interprime number because it is at equal distance from previous prime (106101640277) and next prime (106101640327).

It is a super-3 number, since 3×1061016403023 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321078 + ... + 561510.

It is an arithmetic number, because the mean of its divisors is an integer number (2740947600).

Almost surely, 2106101640302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106101640302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131565484800).

106101640302 is an abundant number, since it is smaller than the sum of its proper divisors (157029329298).

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

106101640302 is a wasteful number, since it uses less digits than its factorization.

106101640302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240550 (or 240543 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 106101640302 its reverse (203046101601), we get a palindrome (309147741903).

The spelling of 106101640302 in words is "one hundred six billion, one hundred one million, six hundred forty thousand, three hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 79 98 114 133 147 158 237 266 294 399 474 553 798 931 1106 1501 1659 1862 2793 3002 3318 3871 4503 5586 7742 9006 10507 11613 21014 23226 31521 63042 73549 147098 220647 240433 441294 480866 721299 1442598 1683031 3366062 4568227 5049093 9136454 10098186 11781217 13704681 18994207 23562434 27409362 31977589 35343651 37988414 56982621 63955178 70687302 95932767 113965242 132959449 191865534 223843123 265918898 360889933 398878347 447686246 671529369 721779866 797756694 930716143 1082669799 1343058738 1861432286 2165339598 2526229531 2792148429 5052459062 5584296858 7578688593 15157377186 17683606717 35367213434 53050820151 106101640302