102532906632 has 128 divisors (see below), whose sum is σ = 281664552960. Its totient is φ = 30908666880.

The previous prime is 102532906621. The next prime is 102532906681. The reversal of 102532906632 is 236609235201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 12513657 + ... + 12521847.

It is an arithmetic number, because the mean of its divisors is an integer number (2200504320).

Almost surely, 2^102532906632 is an apocalyptic number.

102532906632 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 102532906632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140832276480).

102532906632 is an abundant number, since it is smaller than the sum of its proper divisors (179131646328).

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

102532906632 is a wasteful number, since it uses less digits than its factorization.

102532906632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 102532906632 in words is "one hundred two billion, five hundred thirty-two million, nine hundred six thousand, six hundred thirty-two".