102143244171600 has 180 divisors, whose sum is σ = 354470879633052. Its totient is φ = 27237779712000.

The previous prime is 102143244171599. The next prime is 102143244171613. The reversal of 102143244171600 is 6171442341201.

102143244171600 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 3 + 2 + 4 + 41 + 7 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1886359408704 + 100256884762896 = 1373448^2 + 10012836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 286241290 + ... + 286597910.

Almost surely, 2^{102143244171600} is an apocalyptic number.

102143244171600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102143244171600 is an abundant number, since it is smaller than the sum of its proper divisors (252327635461452).

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

102143244171600 is a wasteful number, since it uses less digits than its factorization.

102143244171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436206 (or 436192 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 102143244171600 in words is "one hundred two trillion, one hundred forty-three billion, two hundred forty-four million, one hundred seventy-one thousand, six hundred".