108129120 has 96 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 26211840.

The previous prime is 108129113. The next prime is 108129127. The reversal of 108129120 is 21921801.

It is an interprime number because it is at equal distance from previous prime (108129113) and next prime (108129127).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108129127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4960 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2^108129120 is an apocalyptic number.

108129120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108129120 is an abundant number, since it is smaller than the sum of its proper divisors (263460000).

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

108129120 is a wasteful number, since it uses less digits than its factorization.

108129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20508 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 108129120 is about 10398.5152786347. The cubic root of 108129120 is about 476.4100226234.

The spelling of 108129120 in words is "one hundred eight million, one hundred twenty-nine thousand, one hundred twenty".