105165500 has 48 divisors (see below), whose sum is σ = 250574688. Its totient is φ = 38240000.

The previous prime is 105165493. The next prime is 105165521. The reversal of 105165500 is 5561501.

It is a super-2 number, since 2×105165500² = 22119564780500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4061 + ... + 15060.

It is an arithmetic number, because the mean of its divisors is an integer number (5220306).

Almost surely, 2^105165500 is an apocalyptic number.

105165500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105165500 is an abundant number, since it is smaller than the sum of its proper divisors (145409188).

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

105165500 is a wasteful number, since it uses less digits than its factorization.

105165500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19151 (or 19139 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105165500 is about 10255.0231594083. The cubic root of 105165500 is about 472.0171340615.

The spelling of 105165500 in words is "one hundred five million, one hundred sixty-five thousand, five hundred".