105878880 has 96 divisors (see below), whose sum is σ = 370591200. Its totient is φ = 28233216.

The previous prime is 105878879. The next prime is 105878893. The reversal of 105878880 is 88878501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105878880² = 22420674460108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7935 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (3860325).

Almost surely, 2^105878880 is an apocalyptic number.

105878880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105878880 is an abundant number, since it is smaller than the sum of its proper divisors (264712320).

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

105878880 is a wasteful number, since it uses less digits than its factorization.

105878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24533 (or 24519 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The square root of 105878880 is about 10289.7463525589. The cubic root of 105878880 is about 473.0820240149.

The spelling of 105878880 in words is "one hundred five million, eight hundred seventy-eight thousand, eight hundred eighty".