100141132 has 48 divisors (see below), whose sum is σ = 217864192. Its totient is φ = 39216960.

The previous prime is 100141127. The next prime is 100141133. The reversal of 100141132 is 231141001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100141133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36157 + ... + 38827.

Almost surely, 2^100141132 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 100141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108932096).

100141132 is an abundant number, since it is smaller than the sum of its proper divisors (117723060).

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

100141132 is a wasteful number, since it uses less digits than its factorization.

100141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100141132 is about 10007.0541119752. The cubic root of 100141132 is about 464.3771396221.

Adding to 100141132 its reverse (231141001), we get a palindrome (331282133).

The spelling of 100141132 in words is "one hundred million, one hundred forty-one thousand, one hundred thirty-two".