105513580 has 12 divisors (see below), whose sum is σ = 221578560. Its totient is φ = 42205424.

The previous prime is 105513563. The next prime is 105513599. The reversal of 105513580 is 85315501.

It is a super-2 number, since 2×105513580² = 22266231128832800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637820 + ... + 2637859.

It is an arithmetic number, because the mean of its divisors is an integer number (18464880).

Almost surely, 2^105513580 is an apocalyptic number.

105513580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105513580 is an abundant number, since it is smaller than the sum of its proper divisors (116064980).

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

105513580 is a wasteful number, since it uses less digits than its factorization.

105513580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275688 (or 5275686 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 105513580 is about 10271.9803348721. The cubic root of 105513580 is about 472.5373261667.

The spelling of 105513580 in words is "one hundred five million, five hundred thirteen thousand, five hundred eighty".