100085667 has 16 divisors (see below), whose sum is σ = 147084672. Its totient is φ = 60030720.

The previous prime is 100085651. The next prime is 100085683. The reversal of 100085667 is 766580001.

It is an interprime number because it is at equal distance from previous prime (100085651) and next prime (100085683).

It is not a de Polignac number, because 100085667 - 2⁴ = 100085651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100080667) 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, 12433 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (9192792).

Almost surely, 2^100085667 is an apocalyptic number.

100085667 is a deficient number, since it is larger than the sum of its proper divisors (46999005).

100085667 is a wasteful number, since it uses less digits than its factorization.

100085667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31378.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 100085667 is about 10004.2824330384. The cubic root of 100085667 is about 464.2913891941.

The spelling of 100085667 in words is "one hundred million, eighty-five thousand, six hundred sixty-seven".