102065260032 has 80 divisors (see below), whose sum is σ = 302120298480. Its totient is φ = 34021748736.

The previous prime is 102065260021. The next prime is 102065260061. The reversal of 102065260032 is 230062560201.

102065260032 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 52 + 600 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102065259978 and 102065260005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3677773 + ... + 3705420.

It is an arithmetic number, because the mean of its divisors is an integer number (3776503731).

Almost surely, 2^102065260032 is an apocalyptic number.

102065260032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102065260032 is an abundant number, since it is smaller than the sum of its proper divisors (200055038448).

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

102065260032 is an frugal number, since it uses more digits than its factorization.

102065260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383220 (or 7383198 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 102065260032 in words is "one hundred two billion, sixty-five million, two hundred sixty thousand, thirty-two".