105536980 has 24 divisors (see below), whose sum is σ = 222630912. Its totient is φ = 42023712.

The previous prime is 105536957. The next prime is 105536999. The reversal of 105536980 is 89635501.

It is a super-2 number, since 2×105536980² = 22276108295040800, 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, 7372 + ... + 16291.

It is an arithmetic number, because the mean of its divisors is an integer number (9276288).

Almost surely, 2^105536980 is an apocalyptic number.

105536980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105536980 is an abundant number, since it is smaller than the sum of its proper divisors (117093932).

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

105536980 is a wasteful number, since it uses less digits than its factorization.

105536980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23895 (or 23893 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 105536980 is about 10273.1192926005. The cubic root of 105536980 is about 472.5722554972.

The spelling of 105536980 in words is "one hundred five million, five hundred thirty-six thousand, nine hundred eighty".