102125734704 has 240 divisors, whose sum is σ = 341161616640. Its totient is φ = 27908375040.

The previous prime is 102125734693. The next prime is 102125734723. The reversal of 102125734704 is 407437521201.

102125734704 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 573 + 4 + 70 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2177259 + ... + 2223669.

It is an arithmetic number, because the mean of its divisors is an integer number (1421506736).

Almost surely, 2^102125734704 is an apocalyptic number.

102125734704 is a gapful number since it is divisible by the number (14) 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 102125734704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170580808320).

102125734704 is an abundant number, since it is smaller than the sum of its proper divisors (239035881936).

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

102125734704 is a wasteful number, since it uses less digits than its factorization.

102125734704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46528 (or 46519 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 102125734704 in words is "one hundred two billion, one hundred twenty-five million, seven hundred thirty-four thousand, seven hundred four".