102466216403672 has 128 divisors (see below), whose sum is σ = 223188820070400. Its totient is φ = 43613595417600.

The previous prime is 102466216403669. The next prime is 102466216403813. The reversal of 102466216403672 is 276304612664201.

102466216403672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102466216403672.

It is a congruent number.

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, 49116428 + ... + 51160100.

It is an arithmetic number, because the mean of its divisors is an integer number (1743662656800).

Almost surely, 2^{102466216403672} 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 102466216403672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111594410035200).

102466216403672 is an abundant number, since it is smaller than the sum of its proper divisors (120722603666728).

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

102466216403672 is a wasteful number, since it uses less digits than its factorization.

102466216403672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044057 (or 2044053 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 102466216403672 in words is "one hundred two trillion, four hundred sixty-six billion, two hundred sixteen million, four hundred three thousand, six hundred seventy-two".