101504520400 has 60 divisors (see below), whose sum is σ = 247997966400. Its totient is φ = 39913632640.

The previous prime is 101504520389. The next prime is 101504520457. The reversal of 101504520400 is 4025405101.

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 11 ways as a sum of consecutive naturals, for example, 2126920 + ... + 2174119.

It is an arithmetic number, because the mean of its divisors is an integer number (4133299440).

Almost surely, 2^101504520400 is an apocalyptic number.

101504520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101504520400 is an abundant number, since it is smaller than the sum of its proper divisors (146493446000).

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

101504520400 is a wasteful number, since it uses less digits than its factorization.

101504520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301116 (or 4301105 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 101504520400 its reverse (4025405101), we get a palindrome (105529925501).

The spelling of 101504520400 in words is "one hundred one billion, five hundred four million, five hundred twenty thousand, four hundred".