105880408 has 48 divisors (see below), whose sum is σ = 210228480. Its totient is φ = 49984704.

The previous prime is 105880393. The next prime is 105880417. The reversal of 105880408 is 804088501.

It is a super-2 number, since 2×105880408² = 22421321596492928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537366 + ... + 537562.

It is an arithmetic number, because the mean of its divisors is an integer number (4379760).

Almost surely, 2^105880408 is an apocalyptic number.

It is an amenable number.

105880408 is a deficient number, since it is larger than the sum of its proper divisors (104348072).

105880408 is a wasteful number, since it uses less digits than its factorization.

105880408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 105880408 is about 10289.8206009629. The cubic root of 105880408 is about 473.0842997784.

The spelling of 105880408 in words is "one hundred five million, eight hundred eighty thousand, four hundred eight".