102365667878464 has 21 divisors (see below), whose sum is σ = 203132032813227. Its totient is φ = 51182793468864.

The previous prime is 102365667878437. The next prime is 102365667878473. The reversal of 102365667878464 is 464878766563201.

The square root of 102365667878464 is 10117592.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 80308387 + ... + 81573085.

It is an arithmetic number, because the mean of its divisors is an integer number (9672953943487).

Almost surely, 2^{102365667878464} is an apocalyptic number.

102365667878464 is the 10117592-nd square number.

It is an amenable number.

102365667878464 is a deficient number, since it is larger than the sum of its proper divisors (100766364934763).

102365667878464 is an frugal number, since it uses more digits than its factorization.

102365667878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529410 (or 1264701 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 73.

The spelling of 102365667878464 in words is "one hundred two trillion, three hundred sixty-five billion, six hundred sixty-seven million, eight hundred seventy-eight thousand, four hundred sixty-four".