100044513029 has 16 divisors (see below), whose sum is σ = 102066925056. Its totient is φ = 98038393200.

The previous prime is 100044512999. The next prime is 100044513031. The reversal of 100044513029 is 920315440001.

It is not a de Polignac number, because 100044513029 - 2¹⁶ = 100044447493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100044512992 and 100044513010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044513089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30583664 + ... + 30586934.

It is an arithmetic number, because the mean of its divisors is an integer number (6379182816).

Almost surely, 2^100044513029 is an apocalyptic number.

It is an amenable number.

100044513029 is a deficient number, since it is larger than the sum of its proper divisors (2022412027).

100044513029 is a wasteful number, since it uses less digits than its factorization.

100044513029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 100044513029 in words is "one hundred billion, forty-four million, five hundred thirteen thousand, twenty-nine".