102871140750000 has 560 divisors, whose sum is σ = 421820900623360. Its totient is φ = 23513392800000.

The previous prime is 102871140749989. The next prime is 102871140750031. The reversal of 102871140750000 is 57041178201.

102871140750000 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 1 + 140 + 7 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46161417 + ... + 48338583.

It is an arithmetic number, because the mean of its divisors is an integer number (753251608256).

Almost surely, 2^{102871140750000} is an apocalyptic number.

102871140750000 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 102871140750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210910450311680).

102871140750000 is an abundant number, since it is smaller than the sum of its proper divisors (318949759873360).

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

102871140750000 is an frugal number, since it uses more digits than its factorization.

102871140750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177221 (or 2177184 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 102871140750000 in words is "one hundred two trillion, eight hundred seventy-one billion, one hundred forty million, seven hundred fifty thousand".