102665797632 has 180 divisors, whose sum is σ = 299951739360. Its totient is φ = 33833091072.

The previous prime is 102665797621. The next prime is 102665797687. The reversal of 102665797632 is 236797566201.

102665797632 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 6 + 579 + 7 + 63 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13119673 + ... + 13127495.

It is an arithmetic number, because the mean of its divisors is an integer number (1666398552).

Almost surely, 2^102665797632 is an apocalyptic number.

102665797632 is a gapful number since it is divisible by the number (12) 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 102665797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149975869680).

102665797632 is an abundant number, since it is smaller than the sum of its proper divisors (197285941728).

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

102665797632 is an frugal number, since it uses more digits than its factorization.

102665797632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 102665797632 in words is "one hundred two billion, six hundred sixty-five million, seven hundred ninety-seven thousand, six hundred thirty-two".