108016364400 has 720 divisors, whose sum is σ = 417637376640. Its totient is φ = 23775897600.

The previous prime is 108016364389. The next prime is 108016364411. The reversal of 108016364400 is 4463610801.

It is an interprime number because it is at equal distance from previous prime (108016364389) and next prime (108016364411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285003411 + ... + 285003789.

It is an arithmetic number, because the mean of its divisors is an integer number (580051912).

Almost surely, 2^108016364400 is an apocalyptic number.

108016364400 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 108016364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208818688320).

108016364400 is an abundant number, since it is smaller than the sum of its proper divisors (309621012240).

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

108016364400 is a wasteful number, since it uses less digits than its factorization.

108016364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 108016364400 in words is "one hundred eight billion, sixteen million, three hundred sixty-four thousand, four hundred".