108136304640 has 1248 divisors, whose sum is σ = 483172018560. Its totient is φ = 22741254144.

The previous prime is 108136304623. The next prime is 108136304641. The reversal of 108136304640 is 46403631801.

It is a happy number.

108136304640 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 3 + 6 + 3 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 = 108136304595 and 108136304604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108136304641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352235367 + ... + 352235673.

Almost surely, 2^108136304640 is an apocalyptic number.

108136304640 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 108136304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241586009280).

108136304640 is an abundant number, since it is smaller than the sum of its proper divisors (375035713920).

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

108136304640 is a wasteful number, since it uses less digits than its factorization.

108136304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

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

The spelling of 108136304640 in words is "one hundred eight billion, one hundred thirty-six million, three hundred four thousand, six hundred forty".