10100167 has 8 divisors (see below), whose sum is σ = 12592512. Its totient is φ = 7870200.

The previous prime is 10100161. The next prime is 10100173. The reversal of 10100167 is 76100101.

It is an interprime number because it is at equal distance from previous prime (10100161) and next prime (10100173).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100167 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65509 + ... + 65662.

It is an arithmetic number, because the mean of its divisors is an integer number (1574064).

Almost surely, 2^10100167 is an apocalyptic number.

10100167 is a deficient number, since it is larger than the sum of its proper divisors (2492345).

10100167 is a wasteful number, since it uses less digits than its factorization.

10100167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131189.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 10100167 is about 3178.0759902809. The cubic root of 10100167 is about 216.1604246606.

Adding to 10100167 its reverse (76100101), we get a palindrome (86200268).

The spelling of 10100167 in words is "ten million, one hundred thousand, one hundred sixty-seven".