108118922400 has 324 divisors, whose sum is σ = 402386147982. Its totient is φ = 27313597440.

The previous prime is 108118922393. The next prime is 108118922441. The reversal of 108118922400 is 4229811801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 71526293136 + 36592629264 = 267444^2 + 191292^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2578402 + ... + 2619998.

Almost surely, 2^108118922400 is an apocalyptic number.

108118922400 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 108118922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201193073991).

108118922400 is an abundant number, since it is smaller than the sum of its proper divisors (294267225582).

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

108118922400 is a wasteful number, since it uses less digits than its factorization.

108118922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41661 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 108118922400 in words is "one hundred eight billion, one hundred eighteen million, nine hundred twenty-two thousand, four hundred".