105005880 has 96 divisors (see below), whose sum is σ = 390031200. Its totient is φ = 24000768.

The previous prime is 105005867. The next prime is 105005909. The reversal of 105005880 is 88500501.

It is a super-2 number, since 2×105005880² = 22052469669148800, 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 23 ways as a sum of consecutive naturals, for example, 18315 + ... + 23354.

It is an arithmetic number, because the mean of its divisors is an integer number (4062825).

Almost surely, 2^105005880 is an apocalyptic number.

105005880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005880 is an abundant number, since it is smaller than the sum of its proper divisors (285025320).

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

105005880 is a wasteful number, since it uses less digits than its factorization.

105005880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41693 (or 41686 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105005880 is about 10247.2376765644. The cubic root of 105005880 is about 471.7782042294.

The spelling of 105005880 in words is "one hundred five million, five thousand, eight hundred eighty".