102052632 has 64 divisors (see below), whose sum is σ = 294710400. Its totient is φ = 29104640.

The previous prime is 102052609. The next prime is 102052661. The reversal of 102052632 is 236250201.

It is a junction number, because it is equal to n+sod(n) for n = 102052599 and 102052608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6882 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (4604850).

Almost surely, 2^102052632 is an apocalyptic number.

102052632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102052632 is an abundant number, since it is smaller than the sum of its proper divisors (192657768).

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

102052632 is a wasteful number, since it uses less digits than its factorization.

102052632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22776 (or 22772 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102052632 is about 10102.1102745911. The cubic root of 102052632 is about 467.3132230710.

The spelling of 102052632 in words is "one hundred two million, fifty-two thousand, six hundred thirty-two".