102749923584 has 1296 divisors, whose sum is σ = 413523242496. Its totient is φ = 24153292800.

The previous prime is 102749923543. The next prime is 102749923603. The reversal of 102749923584 is 485329947201.

102749923584 is a `hidden beast` number, since 10 + 2 + 7 + 49 + 9 + 2 + 3 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102749923584.

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 143 ways as a sum of consecutive naturals, for example, 654458034 + ... + 654458190.

It is an arithmetic number, because the mean of its divisors is an integer number (319076576).

Almost surely, 2^102749923584 is an apocalyptic number.

102749923584 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 102749923584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206761621248).

102749923584 is an abundant number, since it is smaller than the sum of its proper divisors (310773318912).

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

102749923584 is a wasteful number, since it uses less digits than its factorization.

102749923584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 102749923584 in words is "one hundred two billion, seven hundred forty-nine million, nine hundred twenty-three thousand, five hundred eighty-four".