102406906616960 has 64 divisors (see below), whose sum is σ = 267072557616000. Its totient is φ = 37238875130880.

The previous prime is 102406906616909. The next prime is 102406906617007. The reversal of 102406906616960 is 69616609604201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102406906616896 and 102406906616905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7273210760 + ... + 7273224839.

It is an arithmetic number, because the mean of its divisors is an integer number (4173008712750).

Almost surely, 2^{102406906616960} is an apocalyptic number.

102406906616960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102406906616960 is an abundant number, since it is smaller than the sum of its proper divisors (164665650999040).

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

102406906616960 is a wasteful number, since it uses less digits than its factorization.

102406906616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14546435629 (or 14546435617 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 56.

The spelling of 102406906616960 in words is "one hundred two trillion, four hundred six billion, nine hundred six million, six hundred sixteen thousand, nine hundred sixty".