100667431 has 2 divisors, whose sum is σ = 100667432. Its totient is φ = 100667430.

The previous prime is 100667401. The next prime is 100667461. The reversal of 100667431 is 134766001.

It is a balanced prime because it is at equal distance from previous prime (100667401) and next prime (100667461).

It is a cyclic number.

It is not a de Polignac number, because 100667431 - 2⁹ = 100666919 is a prime.

It is a super-2 number, since 2×100667431² = 20267863328279522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100667431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100667401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50333715 + 50333716.

It is an arithmetic number, because the mean of its divisors is an integer number (50333716).

Almost surely, 2^100667431 is an apocalyptic number.

100667431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100667431 is an equidigital number, since it uses as much as digits as its factorization.

100667431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 100667431 is about 10033.3160520338. The cubic root of 100667431 is about 465.1892411996.

The spelling of 100667431 in words is "one hundred million, six hundred sixty-seven thousand, four hundred thirty-one".