100132444034 has 24 divisors (see below), whose sum is σ = 174865145148. Its totient is φ = 42878475360.

The previous prime is 100132444021. The next prime is 100132444067. The reversal of 100132444034 is 430444231001.

100132444034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76046335225 + 24086108809 = 275765^2 + 155197^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100132443994 and 100132444012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302297 + ... + 540044.

Almost surely, 2^100132444034 is an apocalyptic number.

100132444034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100132444034 is a deficient number, since it is larger than the sum of its proper divisors (74732701114).

100132444034 is a wasteful number, since it uses less digits than its factorization.

100132444034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843570 (or 843563 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 100132444034 its reverse (430444231001), we get a palindrome (530576675035).

The spelling of 100132444034 in words is "one hundred billion, one hundred thirty-two million, four hundred forty-four thousand, thirty-four".