108136357560 has 960 divisors, whose sum is σ = 485659152000. Its totient is φ = 21280734720.

The previous prime is 108136357531. The next prime is 108136357577. The reversal of 108136357560 is 65753631801.

108136357560 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 3 + 635 + 7 + 5 + 6 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 33179211 + ... + 33182469.

It is an arithmetic number, because the mean of its divisors is an integer number (505894950).

Almost surely, 2^108136357560 is an apocalyptic number.

108136357560 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 108136357560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242829576000).

108136357560 is an abundant number, since it is smaller than the sum of its proper divisors (377522794440).

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

108136357560 is a wasteful number, since it uses less digits than its factorization.

108136357560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 108136357560 in words is "one hundred eight billion, one hundred thirty-six million, three hundred fifty-seven thousand, five hundred sixty".