102986815967 has 16 divisors (see below), whose sum is σ = 117893966400. Its totient is φ = 88128483072.

The previous prime is 102986815957. The next prime is 102986815969. The reversal of 102986815967 is 769518689201.

It is not a de Polignac number, because 102986815967 - 2¹⁰ = 102986814943 is a prime.

It is a super-2 number, since 2×102986815967² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102986815969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12721373 + ... + 12729465.

It is an arithmetic number, because the mean of its divisors is an integer number (7368372900).

Almost surely, 2^102986815967 is an apocalyptic number.

102986815967 is a deficient number, since it is larger than the sum of its proper divisors (14907150433).

102986815967 is a wasteful number, since it uses less digits than its factorization.

102986815967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882.

The product of its (nonzero) digits is 13063680, while the sum is 62.

The spelling of 102986815967 in words is "one hundred two billion, nine hundred eighty-six million, eight hundred fifteen thousand, nine hundred sixty-seven".