107234908128 has 96 divisors (see below), whose sum is σ = 313923294720. Its totient is φ = 35612991360.

The previous prime is 107234908111. The next prime is 107234908147. The reversal of 107234908128 is 821809432701.

It is a happy number.

107234908128 is a `hidden beast` number, since 10 + 7 + 23 + 490 + 8 + 128 = 666.

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

It is a super-2 number, since 2×107234908128² (a number of 23 digits) 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 15 ways as a sum of consecutive naturals, for example, 5151 + ... + 463137.

It is an arithmetic number, because the mean of its divisors is an integer number (3270034320).

Almost surely, 2^107234908128 is an apocalyptic number.

107234908128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107234908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156961647360).

107234908128 is an abundant number, since it is smaller than the sum of its proper divisors (206688386592).

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

107234908128 is a wasteful number, since it uses less digits than its factorization.

107234908128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458277 (or 458263 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 107234908128 in words is "one hundred seven billion, two hundred thirty-four million, nine hundred eight thousand, one hundred twenty-eight".