105879160 has 32 divisors (see below), whose sum is σ = 242727840. Its totient is φ = 41551744.

The previous prime is 105879121. The next prime is 105879211. The reversal of 105879160 is 61978501.

It is a super-2 number, since 2×105879160² = 22420793044611200, 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, 22852 + ... + 27091.

It is an arithmetic number, because the mean of its divisors is an integer number (7585245).

Almost surely, 2^105879160 is an apocalyptic number.

105879160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105879160 is an abundant number, since it is smaller than the sum of its proper divisors (136848680).

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

105879160 is a wasteful number, since it uses less digits than its factorization.

105879160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50007 (or 50003 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 105879160 is about 10289.7599583275. The cubic root of 105879160 is about 473.0824410413.

The spelling of 105879160 in words is "one hundred five million, eight hundred seventy-nine thousand, one hundred sixty".