100247971824 has 720 divisors, whose sum is σ = 388953792864. Its totient is φ = 23688806400.

The previous prime is 100247971819. The next prime is 100247971883. The reversal of 100247971824 is 428179742001.

100247971824 is a `hidden beast` number, since 100 + 2 + 479 + 71 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100247971824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73656904 + ... + 73658264.

Almost surely, 2^100247971824 is an apocalyptic number.

100247971824 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 100247971824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194476896432).

100247971824 is an abundant number, since it is smaller than the sum of its proper divisors (288705821040).

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

100247971824 is a wasteful number, since it uses less digits than its factorization.

100247971824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 100247971824 in words is "one hundred billion, two hundred forty-seven million, nine hundred seventy-one thousand, eight hundred twenty-four".