105117636 has 48 divisors (see below), whose sum is σ = 275635584. Its totient is φ = 30936576.

The previous prime is 105117619. The next prime is 105117653. The reversal of 105117636 is 636711501.

It is an interprime number because it is at equal distance from previous prime (105117619) and next prime (105117653).

It is a super-2 number, since 2×105117636² = 22099434796456992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11061 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (5742408).

Almost surely, 2^105117636 is an apocalyptic number.

It is an amenable number.

105117636 is an abundant number, since it is smaller than the sum of its proper divisors (170517948).

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

105117636 is a wasteful number, since it uses less digits than its factorization.

105117636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29340 (or 29338 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105117636 is about 10252.6892082029. The cubic root of 105117636 is about 471.9455134366.

The spelling of 105117636 in words is "one hundred five million, one hundred seventeen thousand, six hundred thirty-six".