102083118647664 has 240 divisors, whose sum is σ = 341964390656000. Its totient is φ = 25659769766400.

The previous prime is 102083118647663. The next prime is 102083118647701. The reversal of 102083118647664 is 466746811380201.

It is a super-2 number, since 2×102083118647664² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102083118647663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39238039 + ... + 41758710.

Almost surely, 2^{102083118647664} is an apocalyptic number.

102083118647664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102083118647664 is an abundant number, since it is smaller than the sum of its proper divisors (239881272008336).

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

102083118647664 is a wasteful number, since it uses less digits than its factorization.

102083118647664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80996820 (or 80996803 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 102083118647664 in words is "one hundred two trillion, eighty-three billion, one hundred eighteen million, six hundred forty-seven thousand, six hundred sixty-four".