102704505168048 has 720 divisors, whose sum is σ = 340761006471168. Its totient is φ = 26499645849600.

The previous prime is 102704505167993. The next prime is 102704505168061. The reversal of 102704505168048 is 840861505407201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2818978440 + ... + 2819014872.

Almost surely, 2^{102704505168048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102704505168048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170380503235584).

102704505168048 is an abundant number, since it is smaller than the sum of its proper divisors (238056501303120).

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

102704505168048 is a wasteful number, since it uses less digits than its factorization.

102704505168048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36594 (or 36540 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 102704505168048 in words is "one hundred two trillion, seven hundred four billion, five hundred five million, one hundred sixty-eight thousand, forty-eight".