100132312 has 64 divisors (see below), whose sum is σ = 229547520. Its totient is φ = 39971328.

The previous prime is 100132303. The next prime is 100132327. The reversal of 100132312 is 213231001.

It is a junction number, because it is equal to n+sod(n) for n = 100132292 and 100132301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101373 + ... + 102355.

It is an arithmetic number, because the mean of its divisors is an integer number (3586680).

Almost surely, 2^100132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114773760).

100132312 is an abundant number, since it is smaller than the sum of its proper divisors (129415208).

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

100132312 is a wasteful number, since it uses less digits than its factorization.

100132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100132312 is about 10006.6134131383. The cubic root of 100132312 is about 464.3635057750.

Adding to 100132312 its reverse (213231001), we get a palindrome (313363313).

The spelling of 100132312 in words is "one hundred million, one hundred thirty-two thousand, three hundred twelve".