100132032 has 224 divisors, whose sum is σ = 356396544. Its totient is φ = 23961600.

The previous prime is 100132013. The next prime is 100132073. The reversal of 100132032 is 230231001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100131999 and 100132017.

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, 191932 + ... + 192452.

It is an arithmetic number, because the mean of its divisors is an integer number (1591056).

Almost surely, 2^100132032 is an apocalyptic number.

100132032 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 100132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

100132032 is an abundant number, since it is smaller than the sum of its proper divisors (256264512).

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

100132032 is a wasteful number, since it uses less digits than its factorization.

100132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100132032 is about 10006.5994223812. The cubic root of 100132032 is about 464.3630729414.

Adding to 100132032 its reverse (230231001), we get a palindrome (330363033).

It can be divided in two parts, 1001 and 32032, that added together give a palindrome (33033).

The spelling of 100132032 in words is "one hundred million, one hundred thirty-two thousand, thirty-two".