100504012644 has 288 divisors, whose sum is σ = 316698869760. Its totient is φ = 26225337600.

The previous prime is 100504012627. The next prime is 100504012657. The reversal of 100504012644 is 446210405001.

100504012644 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 4 + 0 + 12 + 644 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43488249 + ... + 43490559.

Almost surely, 2^100504012644 is an apocalyptic number.

100504012644 is a gapful number since it is divisible by the number (14) 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 100504012644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158349434880).

100504012644 is an abundant number, since it is smaller than the sum of its proper divisors (216194857116).

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

100504012644 is a wasteful number, since it uses less digits than its factorization.

100504012644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100504012644 its reverse (446210405001), we get a palindrome (546714417645).

The spelling of 100504012644 in words is "one hundred billion, five hundred four million, twelve thousand, six hundred forty-four".