105878120 has 32 divisors (see below), whose sum is σ = 241103520. Its totient is φ = 41839680.

The previous prime is 105878077. The next prime is 105878137. The reversal of 105878120 is 21878501.

It is a happy number.

It is a super-2 number, since 2×105878120² = 22420352589468800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 12626 + ... + 19265.

It is an arithmetic number, because the mean of its divisors is an integer number (7534485).

Almost surely, 2^105878120 is an apocalyptic number.

105878120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105878120 is an abundant number, since it is smaller than the sum of its proper divisors (135225400).

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

105878120 is a wasteful number, since it uses less digits than its factorization.

105878120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31985 (or 31981 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 105878120 is about 10289.7094225250. The cubic root of 105878120 is about 473.0808920825.

The spelling of 105878120 in words is "one hundred five million, eight hundred seventy-eight thousand, one hundred twenty".