100431104301 has 48 divisors (see below), whose sum is σ = 159536232960. Its totient is φ = 60375780000.

The previous prime is 100431104297. The next prime is 100431104317. The reversal of 100431104301 is 103401134001.

100431104301 is a `hidden beast` number, since 100 + 431 + 104 + 30 + 1 = 666.

It is not a de Polignac number, because 100431104301 - 2² = 100431104297 is a prime.

It is a super-2 number, since 2×100431104301² (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 (100431104321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11042766 + ... + 11051856.

It is an arithmetic number, because the mean of its divisors is an integer number (3323671520).

Almost surely, 2^100431104301 is an apocalyptic number.

100431104301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100431104301 is a deficient number, since it is larger than the sum of its proper divisors (59105128659).

100431104301 is a wasteful number, since it uses less digits than its factorization.

100431104301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100431104301 its reverse (103401134001), we get a palindrome (203832238302).

The spelling of 100431104301 in words is "one hundred billion, four hundred thirty-one million, one hundred four thousand, three hundred one".