100413004020 has 576 divisors, whose sum is σ = 352664928000. Its totient is φ = 21242511360.

The previous prime is 100413003989. The next prime is 100413004033. The reversal of 100413004020 is 20400314001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223636756 + ... + 223637204.

It is an arithmetic number, because the mean of its divisors is an integer number (612265500).

Almost surely, 2^100413004020 is an apocalyptic number.

100413004020 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 100413004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464000).

100413004020 is an abundant number, since it is smaller than the sum of its proper divisors (252251923980).

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

100413004020 is a wasteful number, since it uses less digits than its factorization.

100413004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100413004020 its reverse (20400314001), we get a palindrome (120813318021).

The spelling of 100413004020 in words is "one hundred billion, four hundred thirteen million, four thousand, twenty".