100406567 has 12 divisors (see below), whose sum is σ = 104748336. Its totient is φ = 96223680.

The previous prime is 100406557. The next prime is 100406597. The reversal of 100406567 is 765604001.

It is not a de Polignac number, because 100406567 - 2²⁶ = 33297703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100406557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96683 + ... + 97715.

It is an arithmetic number, because the mean of its divisors is an integer number (8729028).

Almost surely, 2^100406567 is an apocalyptic number.

100406567 is a deficient number, since it is larger than the sum of its proper divisors (4341769).

100406567 is an equidigital number, since it uses as much as digits as its factorization.

100406567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 100406567 is about 10020.3077298055. The cubic root of 100406567 is about 464.7870717424.

The spelling of 100406567 in words is "one hundred million, four hundred six thousand, five hundred sixty-seven".