108132361344 has 320 divisors, whose sum is σ = 368749339200. Its totient is φ = 30812866560.

The previous prime is 108132361319. The next prime is 108132361357. The reversal of 108132361344 is 443163231801.

108132361344 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 32 + 3 + 613 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108132361299 and 108132361308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30552727 + ... + 30556265.

It is an arithmetic number, because the mean of its divisors is an integer number (1152341685).

Almost surely, 2^108132361344 is an apocalyptic number.

108132361344 is a gapful number since it is divisible by the number (14) 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 108132361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184374669600).

108132361344 is an abundant number, since it is smaller than the sum of its proper divisors (260616977856).

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

108132361344 is an equidigital number, since it uses as much as digits as its factorization.

108132361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 108132361344 in words is "one hundred eight billion, one hundred thirty-two million, three hundred sixty-one thousand, three hundred forty-four".