102532632 has 64 divisors (see below), whose sum is σ = 266976000. Its totient is φ = 32774784.

The previous prime is 102532631. The next prime is 102532663. The reversal of 102532632 is 236235201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102532631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124173 + ... + 124995.

It is an arithmetic number, because the mean of its divisors is an integer number (4171500).

Almost surely, 2^102532632 is an apocalyptic number.

102532632 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 102532632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133488000).

102532632 is an abundant number, since it is smaller than the sum of its proper divisors (164443368).

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

102532632 is a wasteful number, since it uses less digits than its factorization.

102532632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 102532632 is about 10125.8398170226. The cubic root of 102532632 is about 468.0447396779.

Adding to 102532632 its reverse (236235201), we get a palindrome (338767833).

The spelling of 102532632 in words is "one hundred two million, five hundred thirty-two thousand, six hundred thirty-two".