105376896 has 64 divisors (see below), whose sum is σ = 311018400. Its totient is φ = 35124480.

The previous prime is 105376889. The next prime is 105376903. The reversal of 105376896 is 698673501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105376889) and next prime (105376903).

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

It is a super-2 number, since 2×105376896² = 22208580421189632, 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, 11790 + ... + 18701.

Almost surely, 2^105376896 is an apocalyptic number.

105376896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105376896 is an abundant number, since it is smaller than the sum of its proper divisors (205641504).

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

105376896 is an equidigital number, since it uses as much as digits as its factorization.

105376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30514 (or 30496 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 105376896 is about 10265.3249339707. The cubic root of 105376896 is about 472.3331938280. Note that the first 3 decimals are identical.

The spelling of 105376896 in words is "one hundred five million, three hundred seventy-six thousand, eight hundred ninety-six".