105091921260 has 48 divisors (see below), whose sum is σ = 326952645600. Its totient is φ = 28024512192.

The previous prime is 105091921247. The next prime is 105091921273. The reversal of 105091921260 is 62129190501.

105091921260 is a `hidden beast` number, since 1 + 0 + 509 + 1 + 92 + 1 + 2 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (105091921247) and next prime (105091921273).

It is a super-2 number, since 2×105091921260² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97306795 + ... + 97307874.

It is an arithmetic number, because the mean of its divisors is an integer number (6811513450).

Almost surely, 2^105091921260 is an apocalyptic number.

105091921260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105091921260 is an abundant number, since it is smaller than the sum of its proper divisors (221860724340).

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

105091921260 is a wasteful number, since it uses less digits than its factorization.

105091921260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194614687 (or 194614679 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 105091921260 in words is "one hundred five billion, ninety-one million, nine hundred twenty-one thousand, two hundred sixty".