102926120864 has 192 divisors, whose sum is σ = 246363586560. Its totient is φ = 41348413440.

The previous prime is 102926120833. The next prime is 102926120897. The reversal of 102926120864 is 468021629201.

It is a super-2 number, since 2×102926120864² (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 31 ways as a sum of consecutive naturals, for example, 268736417 + ... + 268736799.

It is an arithmetic number, because the mean of its divisors is an integer number (1283143680).

Almost surely, 2^102926120864 is an apocalyptic number.

102926120864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102926120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181793280).

102926120864 is an abundant number, since it is smaller than the sum of its proper divisors (143437465696).

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

102926120864 is a wasteful number, since it uses less digits than its factorization.

102926120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 102926120864 in words is "one hundred two billion, nine hundred twenty-six million, one hundred twenty thousand, eight hundred sixty-four".