105814976 has 28 divisors (see below), whose sum is σ = 213119208. Its totient is φ = 52115712.

The previous prime is 105814949. The next prime is 105814981. The reversal of 105814976 is 679418501.

It is a super-2 number, since 2×105814976² = 22393618291761152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8051 + ... + 16626.

Almost surely, 2^105814976 is an apocalyptic number.

105814976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105814976 is an abundant number, since it is smaller than the sum of its proper divisors (107304232).

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

105814976 is an equidigital number, since it uses as much as digits as its factorization.

105814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24756 (or 24746 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 105814976 is about 10286.6406566964. The cubic root of 105814976 is about 472.9868274472.

The spelling of 105814976 in words is "one hundred five million, eight hundred fourteen thousand, nine hundred seventy-six".