108406957824 has 432 divisors, whose sum is σ = 374448372480. Its totient is φ = 30914887680.

The previous prime is 108406957819. The next prime is 108406957861. The reversal of 108406957824 is 428759604801.

It is a happy number.

108406957824 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 0 + 69 + 578 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-4 number, since 4×108406957824⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11628237 + ... + 11637555.

It is an arithmetic number, because the mean of its divisors is an integer number (866778640).

Almost surely, 2^108406957824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108406957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187224186240).

108406957824 is an abundant number, since it is smaller than the sum of its proper divisors (266041414656).

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

108406957824 is an equidigital number, since it uses as much as digits as its factorization.

108406957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 108406957824 in words is "one hundred eight billion, four hundred six million, nine hundred fifty-seven thousand, eight hundred twenty-four".