105257384 has 16 divisors (see below), whose sum is σ = 205938720. Its totient is φ = 50340400.

The previous prime is 105257381. The next prime is 105257389. The reversal of 105257384 is 483752501.

It is a happy number.

It is a super-2 number, since 2×105257384² = 22158233773046912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105257381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285842 + ... + 286209.

It is an arithmetic number, because the mean of its divisors is an integer number (12871170).

Almost surely, 2^105257384 is an apocalyptic number.

It is an amenable number.

105257384 is a deficient number, since it is larger than the sum of its proper divisors (100681336).

105257384 is a wasteful number, since it uses less digits than its factorization.

105257384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572080 (or 572076 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 105257384 is about 10259.5021321700. The cubic root of 105257384 is about 472.1545625190.

The spelling of 105257384 in words is "one hundred five million, two hundred fifty-seven thousand, three hundred eighty-four".