100413354400 has 36 divisors (see below), whose sum is σ = 245134103382. Its totient is φ = 40165341440.

The previous prime is 100413354389. The next prime is 100413354409. The reversal of 100413354400 is 4453314001.

It can be written as a sum of positive squares in 3 ways, for example, as 94467710736 + 5945643664 = 307356^2 + 77108^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100413354409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62757547 + ... + 62759146.

Almost surely, 2^100413354400 is an apocalyptic number.

100413354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100413354400 is an abundant number, since it is smaller than the sum of its proper divisors (144720748982).

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

100413354400 is a wasteful number, since it uses less digits than its factorization.

100413354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125516713 (or 125516700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 100413354400 its reverse (4453314001), we get a palindrome (104866668401).

The spelling of 100413354400 in words is "one hundred billion, four hundred thirteen million, three hundred fifty-four thousand, four hundred".