100476431 has 16 divisors (see below), whose sum is σ = 112140288. Its totient is φ = 89258400.

The previous prime is 100476419. The next prime is 100476437. The reversal of 100476431 is 134674001.

It is not a de Polignac number, because 100476431 - 2¹⁸ = 100214287 is a prime.

It is a super-2 number, since 2×100476431² = 20191026372995522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100476431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100476437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98681 + ... + 99693.

It is an arithmetic number, because the mean of its divisors is an integer number (7008768).

Almost surely, 2^100476431 is an apocalyptic number.

100476431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100476431 is a deficient number, since it is larger than the sum of its proper divisors (11663857).

100476431 is a wasteful number, since it uses less digits than its factorization.

100476431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 100476431 is about 10023.7932440768. The cubic root of 100476431 is about 464.8948480776.

The spelling of 100476431 in words is "one hundred million, four hundred seventy-six thousand, four hundred thirty-one".