100441024431 has 96 divisors (see below), whose sum is σ = 154447448064. Its totient is φ = 57970598400.

The previous prime is 100441024423. The next prime is 100441024451. The reversal of 100441024431 is 134420144001.

It is not a de Polignac number, because 100441024431 - 2³ = 100441024423 is a prime.

It is a super-2 number, since 2×100441024431² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441024451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107193795 + ... + 107194731.

It is an arithmetic number, because the mean of its divisors is an integer number (1608827584).

Almost surely, 2^100441024431 is an apocalyptic number.

100441024431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100441024431 is a deficient number, since it is larger than the sum of its proper divisors (54006423633).

100441024431 is a wasteful number, since it uses less digits than its factorization.

100441024431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100441024431 its reverse (134420144001), we get a palindrome (234861168432).

The spelling of 100441024431 in words is "one hundred billion, four hundred forty-one million, twenty-four thousand, four hundred thirty-one".