102667256317216 has 48 divisors (see below), whose sum is σ = 202228511337720. Its totient is φ = 51307638722560.

The previous prime is 102667256317181. The next prime is 102667256317231. The reversal of 102667256317216 is 612713652766201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62050342857616 + 40616913459600 = 7877204^2 + 6373140^2 .

It is a super-4 number, since 4×102667256317216⁴ (a number of 57 digits) contains 4444 as substring.

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, 839265336 + ... + 839387656.

Almost surely, 2^{102667256317216} is an apocalyptic number.

102667256317216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102667256317216 is a deficient number, since it is larger than the sum of its proper divisors (99561255020504).

102667256317216 is a wasteful number, since it uses less digits than its factorization.

102667256317216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135397 (or 135389 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 102667256317216 in words is "one hundred two trillion, six hundred sixty-seven billion, two hundred fifty-six million, three hundred seventeen thousand, two hundred sixteen".