108272153808 has 900 divisors, whose sum is σ = 409010479020. Its totient is φ = 26629005312.

The previous prime is 108272153783. The next prime is 108272153819. The reversal of 108272153808 is 808351272801.

108272153808 is a `hidden beast` number, since 10 + 82 + 7 + 21 + 538 + 0 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2157788304 + 106114365504 = 46452^2 + 325752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 993322458 + ... + 993322566.

Almost surely, 2^108272153808 is an apocalyptic number.

108272153808 is a gapful number since it is divisible by the number (18) 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 108272153808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204505239510).

108272153808 is an abundant number, since it is smaller than the sum of its proper divisors (300738325212).

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

108272153808 is a wasteful number, since it uses less digits than its factorization.

108272153808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 151 counting only the distinct ones).

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

The spelling of 108272153808 in words is "one hundred eight billion, two hundred seventy-two million, one hundred fifty-three thousand, eight hundred eight".