105074880 has 56 divisors (see below), whose sum is σ = 333615792. Its totient is φ = 28019712.

The previous prime is 105074869. The next prime is 105074887. The reversal of 105074880 is 88470501.

It is a happy number.

It is a super-2 number, since 2×105074880² = 22081460814028800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105074887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53767 + ... + 55686.

Almost surely, 2^105074880 is an apocalyptic number.

105074880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105074880 is an abundant number, since it is smaller than the sum of its proper divisors (228540912).

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

105074880 is a wasteful number, since it uses less digits than its factorization.

105074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109473 (or 109463 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105074880 is about 10250.6038846499. The cubic root of 105074880 is about 471.8815177089.

The spelling of 105074880 in words is "one hundred five million, seventy-four thousand, eight hundred eighty".