100075667 has 2 divisors, whose sum is σ = 100075668. Its totient is φ = 100075666.

The previous prime is 100075631. The next prime is 100075669. The reversal of 100075667 is 766570001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100075667 - 2¹⁸ = 99813523 is a prime.

Together with 100075669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100075669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50037833 + 50037834.

It is an arithmetic number, because the mean of its divisors is an integer number (50037834).

Almost surely, 2^100075667 is an apocalyptic number.

100075667 is a deficient number, since it is larger than the sum of its proper divisors (1).

100075667 is an equidigital number, since it uses as much as digits as its factorization.

100075667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 100075667 is about 10003.7826345838. The cubic root of 100075667 is about 464.2759255462.

It can be divided in two parts, 1000 and 75667, that added together give a palindrome (76667).

The spelling of 100075667 in words is "one hundred million, seventy-five thousand, six hundred sixty-seven".