108136691712 has 768 divisors, whose sum is σ = 383999616000. Its totient is φ = 29429858304.

The previous prime is 108136691683. The next prime is 108136691737. The reversal of 108136691712 is 217196631801.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×108136691712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215018964 + ... + 1215019052.

It is an arithmetic number, because the mean of its divisors is an integer number (499999500).

Almost surely, 2^108136691712 is an apocalyptic number.

108136691712 is a gapful number since it is divisible by the number (12) 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 108136691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191999808000).

108136691712 is an abundant number, since it is smaller than the sum of its proper divisors (275862924288).

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

108136691712 is an equidigital number, since it uses as much as digits as its factorization.

108136691712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 108136691712 in words is "one hundred eight billion, one hundred thirty-six million, six hundred ninety-one thousand, seven hundred twelve".