102166470272776 has 128 divisors (see below), whose sum is σ = 244026327283200. Its totient is φ = 39003382978560.

The previous prime is 102166470272767. The next prime is 102166470272819. The reversal of 102166470272776 is 677272074661201.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 102166470272776.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39122421 + ... + 41652091.

It is an arithmetic number, because the mean of its divisors is an integer number (1906455681900).

Almost surely, 2^{102166470272776} 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 102166470272776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122013163641600).

102166470272776 is an abundant number, since it is smaller than the sum of its proper divisors (141859857010424).

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

102166470272776 is a wasteful number, since it uses less digits than its factorization.

102166470272776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531639 (or 2531635 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 58.

The spelling of 102166470272776 in words is "one hundred two trillion, one hundred sixty-six billion, four hundred seventy million, two hundred seventy-two thousand, seven hundred seventy-six".