105414976 has 28 divisors (see below), whose sum is σ = 209690208. Its totient is φ = 52579712.

The previous prime is 105414931. The next prime is 105414989. The reversal of 105414976 is 679414501.

It is a super-2 number, since 2×105414976² = 22224634330161152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28125 + ... + 31651.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2^105414976 is an apocalyptic number.

105414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105414976 is a deficient number, since it is larger than the sum of its proper divisors (104275232).

105414976 is an equidigital number, since it uses as much as digits as its factorization.

105414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 105414976 is about 10267.1795542885. The cubic root of 105414976 is about 472.3900825850.

The spelling of 105414976 in words is "one hundred five million, four hundred fourteen thousand, nine hundred seventy-six".