102100307342592 has 576 divisors, whose sum is σ = 320288806010880. Its totient is φ = 28615252672512.

The previous prime is 102100307342587. The next prime is 102100307342681. The reversal of 102100307342592 is 295243703001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 102100307342592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399202209 + ... + 399457887.

It is an arithmetic number, because the mean of its divisors is an integer number (556056954880).

Almost surely, 2^{102100307342592} is an apocalyptic number.

102100307342592 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 102100307342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160144403005440).

102100307342592 is an abundant number, since it is smaller than the sum of its proper divisors (218188498668288).

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

102100307342592 is a wasteful number, since it uses less digits than its factorization.

102100307342592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255818 (or 255804 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 102100307342592 in words is "one hundred two trillion, one hundred billion, three hundred seven million, three hundred forty-two thousand, five hundred ninety-two".