102942992275200 has 3240 divisors, whose sum is σ = 483272368234656. Its totient is φ = 21161469542400.

The previous prime is 102942992275187. The next prime is 102942992275231. The reversal of 102942992275200 is 2572299249201.

102942992275200 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 4 + 2 + 9 + 92 + 27 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 42591224392 + ... + 42591226808.

Almost surely, 2^{102942992275200} is an apocalyptic number.

102942992275200 is a gapful number since it is divisible by the number (10) 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 102942992275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241636184117328).

102942992275200 is an abundant number, since it is smaller than the sum of its proper divisors (380329375959456).

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

102942992275200 is a wasteful number, since it uses less digits than its factorization.

102942992275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 102942992275200 in words is "one hundred two trillion, nine hundred forty-two billion, nine hundred ninety-two million, two hundred seventy-five thousand, two hundred".