102459393792 has 216 divisors, whose sum is σ = 339513632640. Its totient is φ = 29109749760.

The previous prime is 102459393791. The next prime is 102459393793. The reversal of 102459393792 is 297393954201.

102459393792 is a `hidden beast` number, since 1 + 0 + 245 + 9 + 393 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102459393791) and next prime (102459393793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102459393791) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2869167 + ... + 2904657.

Almost surely, 2^102459393792 is an apocalyptic number.

102459393792 is a gapful number since it is divisible by the number (12) 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 102459393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169756816320).

102459393792 is an abundant number, since it is smaller than the sum of its proper divisors (237054238848).

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

102459393792 is a wasteful number, since it uses less digits than its factorization.

102459393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35699 (or 35682 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 102459393792 in words is "one hundred two billion, four hundred fifty-nine million, three hundred ninety-three thousand, seven hundred ninety-two".