100089132 has 192 divisors, whose sum is σ = 300754944. Its totient is φ = 25436160.

The previous prime is 100089127. The next prime is 100089139. The reversal of 100089132 is 231980001.

It is not an unprimeable number, because it can be changed into a prime (100089139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371048 + ... + 1371120.

It is an arithmetic number, because the mean of its divisors is an integer number (1566432).

Almost surely, 2^100089132 is an apocalyptic number.

100089132 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 100089132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150377472).

100089132 is an abundant number, since it is smaller than the sum of its proper divisors (200665812).

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

100089132 is a wasteful number, since it uses less digits than its factorization.

100089132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100089132 is about 10004.4556073781. The cubic root of 100089132 is about 464.2967471078.

The spelling of 100089132 in words is "one hundred million, eighty-nine thousand, one hundred thirty-two".