108630789120 has 1408 divisors, whose sum is σ = 471628800000. Its totient is φ = 23670226944.

The previous prime is 108630789097. The next prime is 108630789131. The reversal of 108630789120 is 21987036801.

108630789120 is a `hidden beast` number, since 1 + 0 + 8 + 630 + 7 + 8 + 9 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1375073241 + ... + 1375073319.

Almost surely, 2^108630789120 is an apocalyptic number.

108630789120 is a gapful number since it is divisible by the number (10) 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 108630789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235814400000).

108630789120 is an abundant number, since it is smaller than the sum of its proper divisors (362998010880).

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

108630789120 is an equidigital number, since it uses as much as digits as its factorization.

108630789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 108630789120 in words is "one hundred eight billion, six hundred thirty million, seven hundred eighty-nine thousand, one hundred twenty".