105970700772 has 36 divisors (see below), whose sum is σ = 267880259920. Its totient is φ = 35322264432.

The previous prime is 105970700713. The next prime is 105970700789. The reversal of 105970700772 is 277007079501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105970700772² (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 11 ways as a sum of consecutive naturals, for example, 1878879 + ... + 1934457.

Almost surely, 2^105970700772 is an apocalyptic number.

105970700772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105970700772 is an abundant number, since it is smaller than the sum of its proper divisors (161909559148).

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

105970700772 is a wasteful number, since it uses less digits than its factorization.

105970700772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108552 (or 108547 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The spelling of 105970700772 in words is "one hundred five billion, nine hundred seventy million, seven hundred thousand, seven hundred seventy-two".