102345615009792 has 1440 divisors, whose sum is σ = 392874417936000. Its totient is φ = 26244967956480.

The previous prime is 102345615009769. The next prime is 102345615009797. The reversal of 102345615009792 is 297900516543201.

102345615009792 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 5 + 61 + 500 + 9 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102345615009797) 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 119 ways as a sum of consecutive naturals, for example, 7063669684 + ... + 7063684172.

It is an arithmetic number, because the mean of its divisors is an integer number (272829456900).

Almost surely, 2^{102345615009792} is an apocalyptic number.

102345615009792 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 102345615009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196437208968000).

102345615009792 is an abundant number, since it is smaller than the sum of its proper divisors (290528802926208).

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

102345615009792 is a wasteful number, since it uses less digits than its factorization.

102345615009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14627 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 102345615009792 in words is "one hundred two trillion, three hundred forty-five billion, six hundred fifteen million, nine thousand, seven hundred ninety-two".