105638496 has 36 divisors (see below), whose sum is σ = 277565652. Its totient is φ = 35179264.

The previous prime is 105638479. The next prime is 105638501. The reversal of 105638496 is 694836501.

It is a super-2 number, since 2×105638496² = 22318983674284032, 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100180 + ... + 101228.

It is an arithmetic number, because the mean of its divisors is an integer number (7710157).

Almost surely, 2^105638496 is an apocalyptic number.

105638496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105638496 is an abundant number, since it is smaller than the sum of its proper divisors (171927156).

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

105638496 is an frugal number, since it uses more digits than its factorization.

105638496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 105638496 is about 10278.0589607182. The cubic root of 105638496 is about 472.7237293261.

The spelling of 105638496 in words is "one hundred five million, six hundred thirty-eight thousand, four hundred ninety-six".