108226056960 has 972 divisors, whose sum is σ = 454035870288. Its totient is φ = 24643325952.

The previous prime is 108226056949. The next prime is 108226056973. The reversal of 108226056960 is 69650622801.

108226056960 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 26 + 0 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 411505789 + ... + 411506051.

Almost surely, 2^108226056960 is an apocalyptic number.

108226056960 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 108226056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227017935144).

108226056960 is an abundant number, since it is smaller than the sum of its proper divisors (345809813328).

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

108226056960 is an frugal number, since it uses more digits than its factorization.

108226056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 108226056960 in words is "one hundred eight billion, two hundred twenty-six million, fifty-six thousand, nine hundred sixty".