108057369600 has 990 divisors, whose sum is σ = 423350583392. Its totient is φ = 27205632000.

The previous prime is 108057369509. The next prime is 108057369643. The reversal of 108057369600 is 6963750801.

It is a happy number.

108057369600 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 5 + 7 + 36 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 2635545580 + ... + 2635545620.

Almost surely, 2^108057369600 is an apocalyptic number.

108057369600 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 108057369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211675291696).

108057369600 is an abundant number, since it is smaller than the sum of its proper divisors (315293213792).

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

108057369600 is an equidigital number, since it uses as much as digits as its factorization.

108057369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 108057369600 in words is "one hundred eight billion, fifty-seven million, three hundred sixty-nine thousand, six hundred".