105697920 has 64 divisors (see below), whose sum is σ = 336918240. Its totient is φ = 28185600.

The previous prime is 105697919. The next prime is 105697957. The reversal of 105697920 is 29796501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105697920² = 22344100584652800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25606 + ... + 29445.

Almost surely, 2^105697920 is an apocalyptic number.

105697920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105697920 is an abundant number, since it is smaller than the sum of its proper divisors (231220320).

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

105697920 is an equidigital number, since it uses as much as digits as its factorization.

105697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55073 (or 55061 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105697920 is about 10280.9493725045. The cubic root of 105697920 is about 472.8123519095.

The spelling of 105697920 in words is "one hundred five million, six hundred ninety-seven thousand, nine hundred twenty".