100089067 has 12 divisors (see below), whose sum is σ = 108899640. Its totient is φ = 91947648.

The previous prime is 100089037. The next prime is 100089071. The reversal of 100089067 is 760980001.

It is not a de Polignac number, because 100089067 - 2²³ = 91700459 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100089037) 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 11 ways as a sum of consecutive naturals, for example, 37059 + ... + 39667.

It is an arithmetic number, because the mean of its divisors is an integer number (9074970).

Almost surely, 2^100089067 is an apocalyptic number.

100089067 is a deficient number, since it is larger than the sum of its proper divisors (8810573).

100089067 is a wasteful number, since it uses less digits than its factorization.

100089067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 100089067 is about 10004.4523588250. The cubic root of 100089067 is about 464.2966465997.

The spelling of 100089067 in words is "one hundred million, eighty-nine thousand, sixty-seven".