108688507200 has 2268 divisors, whose sum is σ = 526622395572. Its totient is φ = 21056716800.

The previous prime is 108688507199. The next prime is 108688507283. The reversal of 108688507200 is 2705886801.

It can be written as a sum of positive squares in 18 ways, for example, as 87128870976 + 21559636224 = 295176^2 + 146832^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2650939180 + ... + 2650939220.

Almost surely, 2^108688507200 is an apocalyptic number.

108688507200 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 108688507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263311197786).

108688507200 is an abundant number, since it is smaller than the sum of its proper divisors (417933888372).

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

108688507200 is a wasteful number, since it uses less digits than its factorization.

108688507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 108688507200 in words is "one hundred eight billion, six hundred eighty-eight million, five hundred seven thousand, two hundred".