105376384 has 32 divisors (see below), whose sum is σ = 210555540. Its totient is φ = 52531200.

The previous prime is 105376373. The next prime is 105376391. The reversal of 105376384 is 483673501.

It can be written as a sum of positive squares in 2 ways, for example, as 92929600 + 12446784 = 9640^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105376384² = 22208364609830912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50302 + ... + 52354.

Almost surely, 2^105376384 is an apocalyptic number.

It is an amenable number.

105376384 is a deficient number, since it is larger than the sum of its proper divisors (105179156).

105376384 is an equidigital number, since it uses as much as digits as its factorization.

105376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 105376384 is about 10265.2999956163. The cubic root of 105376384 is about 472.3324288438.

The spelling of 105376384 in words is "one hundred five million, three hundred seventy-six thousand, three hundred eighty-four".