108218073600 has 2400 divisors, whose sum is σ = 522605884416. Its totient is φ = 21499084800.

The previous prime is 108218073589. The next prime is 108218073617. The reversal of 108218073600 is 6370812801.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×108218073600² (a number of 23 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 2924812782 + ... + 2924812818.

Almost surely, 2^108218073600 is an apocalyptic number.

108218073600 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 108218073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261302942208).

108218073600 is an abundant number, since it is smaller than the sum of its proper divisors (414387810816).

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

108218073600 is a wasteful number, since it uses less digits than its factorization.

108218073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 108218073600 in words is "one hundred eight billion, two hundred eighteen million, seventy-three thousand, six hundred".