108311965440 has 1152 divisors, whose sum is σ = 440797593600. Its totient is φ = 22109552640.

The previous prime is 108311965393. The next prime is 108311965471. The reversal of 108311965440 is 44569113801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 108311965392 and 108311965401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051572429 + ... + 1051572531.

It is an arithmetic number, because the mean of its divisors is an integer number (382636800).

Almost surely, 2^108311965440 is an apocalyptic number.

108311965440 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 108311965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220398796800).

108311965440 is an abundant number, since it is smaller than the sum of its proper divisors (332485628160).

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

108311965440 is a wasteful number, since it uses less digits than its factorization.

108311965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 108311965440 in words is "one hundred eight billion, three hundred eleven million, nine hundred sixty-five thousand, four hundred forty".