105086496202272 has 192 divisors, whose sum is σ = 337755645279360. Its totient is φ = 31582345761792.

The previous prime is 105086496202271. The next prime is 105086496202283. The reversal of 105086496202272 is 272202694680501.

105086496202272 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 8 + 6 + 4 + 9 + 620 + 2 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×105086496202272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105086496202271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108307623 + ... + 109273574.

It is an arithmetic number, because the mean of its divisors is an integer number (1759143985830).

Almost surely, 2^{105086496202272} is an apocalyptic number.

105086496202272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105086496202272 is an abundant number, since it is smaller than the sum of its proper divisors (232669149077088).

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

105086496202272 is a wasteful number, since it uses less digits than its factorization.

105086496202272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217581272 (or 217581258 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 105086496202272 in words is "one hundred five trillion, eighty-six billion, four hundred ninety-six million, two hundred two thousand, two hundred seventy-two".