105080880 has 40 divisors (see below), whose sum is σ = 325751472. Its totient is φ = 28021504.

The previous prime is 105080869. The next prime is 105080939. The reversal of 105080880 is 88080501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105080880² = 22083982683148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 218679 + ... + 219158.

Almost surely, 2^105080880 is an apocalyptic number.

105080880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105080880 is an abundant number, since it is smaller than the sum of its proper divisors (220670592).

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

105080880 is a wasteful number, since it uses less digits than its factorization.

105080880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437853 (or 437847 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 105080880 is about 10250.8965461563. The cubic root of 105080880 is about 471.8904993520.

The spelling of 105080880 in words is "one hundred five million, eighty thousand, eight hundred eighty".