102631032 has 96 divisors (see below), whose sum is σ = 319269600. Its totient is φ = 29175552.

The previous prime is 102630943. The next prime is 102631043. The reversal of 102631032 is 230136201.

102631032 is a `hidden beast` number, since 1 + 0 + 2 + 631 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102630996 and 102631014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135198 + ... + 135954.

It is an arithmetic number, because the mean of its divisors is an integer number (3325725).

Almost surely, 2^102631032 is an apocalyptic number.

102631032 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 102631032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159634800).

102631032 is an abundant number, since it is smaller than the sum of its proper divisors (216638568).

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

102631032 is a wasteful number, since it uses less digits than its factorization.

102631032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 102631032 is about 10130.6975080692. The cubic root of 102631032 is about 468.1944184557.

Adding to 102631032 its reverse (230136201), we get a palindrome (332767233).

The spelling of 102631032 in words is "one hundred two million, six hundred thirty-one thousand, thirty-two".