102676126464 has 216 divisors, whose sum is σ = 312308156160. Its totient is φ = 32352638976.

The previous prime is 102676126451. The next prime is 102676126481. The reversal of 102676126464 is 464621676201.

102676126464 is a `hidden beast` number, since 1 + 0 + 2 + 67 + 6 + 126 + 464 = 666.

It is a super-2 number, since 2×102676126464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22016997 + ... + 22021659.

Almost surely, 2^102676126464 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 102676126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156154078080).

102676126464 is an abundant number, since it is smaller than the sum of its proper divisors (209632029696).

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

102676126464 is a wasteful number, since it uses less digits than its factorization.

102676126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 102676126464 in words is "one hundred two billion, six hundred seventy-six million, one hundred twenty-six thousand, four hundred sixty-four".