108801136224 has 600 divisors, whose sum is σ = 365358803040. Its totient is φ = 31739558400.

The previous prime is 108801136211. The next prime is 108801136259. The reversal of 108801136224 is 422631108801.

108801136224 is a `hidden beast` number, since 10 + 8 + 8 + 0 + 1 + 13 + 622 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1783625154 + ... + 1783625214.

Almost surely, 2^108801136224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108801136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182679401520).

108801136224 is an abundant number, since it is smaller than the sum of its proper divisors (256557666816).

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

108801136224 is an frugal number, since it uses more digits than its factorization.

108801136224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 108801 and 136224, that added together give a square (245025 = 495²).

The spelling of 108801136224 in words is "one hundred eight billion, eight hundred one million, one hundred thirty-six thousand, two hundred twenty-four".