100520300025600 has 3456 divisors, whose sum is σ = 441475743744000. Its totient is φ = 19973018419200.

The previous prime is 100520300025599. The next prime is 100520300025637. The reversal of 100520300025600 is 6520003025001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139805702041 + ... + 139805702759.

It is an arithmetic number, because the mean of its divisors is an integer number (127741824000).

Almost surely, 2^{100520300025600} is an apocalyptic number.

100520300025600 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 100520300025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220737871872000).

100520300025600 is an abundant number, since it is smaller than the sum of its proper divisors (340955443718400).

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

100520300025600 is a wasteful number, since it uses less digits than its factorization.

100520300025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 100520300025600 in words is "one hundred trillion, five hundred twenty billion, three hundred million, twenty-five thousand, six hundred".