105117638 has 16 divisors (see below), whose sum is σ = 160314000. Its totient is φ = 51687072.

The previous prime is 105117619. The next prime is 105117653. The reversal of 105117638 is 836711501.

It is a super-2 number, since 2×105117638² = 22099435637398088, which contains 22 as substring.

It is a congruent number.

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, 28568 + ... + 32036.

It is an arithmetic number, because the mean of its divisors is an integer number (10019625).

Almost surely, 2^105117638 is an apocalyptic number.

105117638 is a deficient number, since it is larger than the sum of its proper divisors (55196362).

105117638 is a wasteful number, since it uses less digits than its factorization.

105117638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 105117638 is about 10252.6893057383. The cubic root of 105117638 is about 471.9455164297.

The spelling of 105117638 in words is "one hundred five million, one hundred seventeen thousand, six hundred thirty-eight".