102181632 has 144 divisors (see below), whose sum is σ = 315920640. Its totient is φ = 28717056.

The previous prime is 102181627. The next prime is 102181637. The reversal of 102181632 is 236181201.

It is an interprime number because it is at equal distance from previous prime (102181627) and next prime (102181637).

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

It is not an unprimeable number, because it can be changed into a prime (102181637) 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, 446094 + ... + 446322.

Almost surely, 2^102181632 is an apocalyptic number.

102181632 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 102181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157960320).

102181632 is an abundant number, since it is smaller than the sum of its proper divisors (213739008).

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

102181632 is an equidigital number, since it uses as much as digits as its factorization.

102181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102181632 is about 10108.4930627666. The cubic root of 102181632 is about 467.5100431560.

The spelling of 102181632 in words is "one hundred two million, one hundred eighty-one thousand, six hundred thirty-two".