100132112 has 20 divisors (see below), whose sum is σ = 194167260. Its totient is φ = 50024448.

The previous prime is 100132111. The next prime is 100132117. The reversal of 100132112 is 211231001.

It can be written as a sum of positive squares in 2 ways, for example, as 73547776 + 26584336 = 8576^2 + 5156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100132093 and 100132102.

It is not an unprimeable number, because it can be changed into a prime (100132111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28568 + ... + 31880.

It is an arithmetic number, because the mean of its divisors is an integer number (9708363).

Almost surely, 2^100132112 is an apocalyptic number.

It is an amenable number.

100132112 is a deficient number, since it is larger than the sum of its proper divisors (94035148).

100132112 is a wasteful number, since it uses less digits than its factorization.

100132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100132112 is about 10006.6034197424. The cubic root of 100132112 is about 464.3631966082.

Adding to 100132112 its reverse (211231001), we get a palindrome (311363113).

The spelling of 100132112 in words is "one hundred million, one hundred thirty-two thousand, one hundred twelve".