108465120 has 72 divisors (see below), whose sum is σ = 370142136. Its totient is φ = 28923648.

The previous prime is 108465113. The next prime is 108465139. The reversal of 108465120 is 21564801.

108465120 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×108465120² = 23529364513228800, 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 11 ways as a sum of consecutive naturals, for example, 36222 + ... + 39101.

It is an arithmetic number, because the mean of its divisors is an integer number (5140863).

Almost surely, 2^108465120 is an apocalyptic number.

108465120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108465120 is an abundant number, since it is smaller than the sum of its proper divisors (261677016).

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

108465120 is a wasteful number, since it uses less digits than its factorization.

108465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75344 (or 75333 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 108465120 is about 10414.6588998392. The cubic root of 108465120 is about 476.9029772473.

The spelling of 108465120 in words is "one hundred eight million, four hundred sixty-five thousand, one hundred twenty".