105307936272 has 320 divisors, whose sum is σ = 377290137600. Its totient is φ = 27321477120.

The previous prime is 105307936187. The next prime is 105307936303. The reversal of 105307936272 is 272639703501.

105307936272 is a `hidden beast` number, since 1 + 0 + 530 + 7 + 93 + 6 + 27 + 2 = 666.

It is a super-2 number, since 2×105307936272² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49462504 + ... + 49464632.

It is an arithmetic number, because the mean of its divisors is an integer number (1179031680).

Almost surely, 2^105307936272 is an apocalyptic number.

105307936272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105307936272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188645068800).

105307936272 is an abundant number, since it is smaller than the sum of its proper divisors (271982201328).

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

105307936272 is a wasteful number, since it uses less digits than its factorization.

105307936272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 105307936272 in words is "one hundred five billion, three hundred seven million, nine hundred thirty-six thousand, two hundred seventy-two".