105515080 has 32 divisors (see below), whose sum is σ = 258992640. Its totient is φ = 38368960.

The previous prime is 105515051. The next prime is 105515101. The reversal of 105515080 is 80515501.

It is a super-2 number, since 2×105515080² = 22266864214812800, which contains 22 as substring.

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, 119464 + ... + 120343.

It is an arithmetic number, because the mean of its divisors is an integer number (8093520).

Almost surely, 2^105515080 is an apocalyptic number.

105515080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105515080 is an abundant number, since it is smaller than the sum of its proper divisors (153477560).

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

105515080 is a wasteful number, since it uses less digits than its factorization.

105515080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239829 (or 239825 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The square root of 105515080 is about 10272.0533487711. The cubic root of 105515080 is about 472.5395653813.

The spelling of 105515080 in words is "one hundred five million, five hundred fifteen thousand, eighty".