100431801 has 48 divisors (see below), whose sum is σ = 160162704. Its totient is φ = 60383232.

The previous prime is 100431791. The next prime is 100431827. The reversal of 100431801 is 108134001.

It can be written as a sum of positive squares in 8 ways, for example, as 331776 + 100100025 = 576^2 + 10005^2 .

It is not a de Polignac number, because 100431801 - 2²⁶ = 33322937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100431301) 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 47 ways as a sum of consecutive naturals, for example, 639615 + ... + 639771.

It is an arithmetic number, because the mean of its divisors is an integer number (3336723).

Almost surely, 2^100431801 is an apocalyptic number.

It is an amenable number.

100431801 is a deficient number, since it is larger than the sum of its proper divisors (59730903).

100431801 is a wasteful number, since it uses less digits than its factorization.

100431801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100431801 is about 10021.5667936705. The cubic root of 100431801 is about 464.8260049681.

Adding to 100431801 its reverse (108134001), we get a palindrome (208565802).

The spelling of 100431801 in words is "one hundred million, four hundred thirty-one thousand, eight hundred one".