100137403450504 has 64 divisors (see below), whose sum is σ = 223695180979200. Its totient is φ = 41120437536000.

The previous prime is 100137403450499. The next prime is 100137403450519. The reversal of 100137403450504 is 405054304731001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285383259 + ... + 285733930.

It is an arithmetic number, because the mean of its divisors is an integer number (3495237202800).

Almost surely, 2^{100137403450504} is an apocalyptic number.

100137403450504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100137403450504 is an abundant number, since it is smaller than the sum of its proper divisors (123557777528696).

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

100137403450504 is a wasteful number, since it uses less digits than its factorization.

100137403450504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571117334 (or 571117330 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 100137403450504 in words is "one hundred trillion, one hundred thirty-seven billion, four hundred three million, four hundred fifty thousand, five hundred four".