100138167 has 16 divisors (see below), whose sum is σ = 149825760. Its totient is φ = 66096000.

The previous prime is 100138141. The next prime is 100138201. The reversal of 100138167 is 761831001.

It is not a de Polignac number, because 100138167 - 2⁸ = 100137911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100138167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100138567) 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, 15634 + ... + 21087.

It is an arithmetic number, because the mean of its divisors is an integer number (9364110).

Almost surely, 2^100138167 is an apocalyptic number.

100138167 is a deficient number, since it is larger than the sum of its proper divisors (49687593).

100138167 is a wasteful number, since it uses less digits than its factorization.

100138167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36831 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100138167 is about 10006.9059653821. The cubic root of 100138167 is about 464.3725564510.

Adding to 100138167 its reverse (761831001), we get a palindrome (861969168).

The spelling of 100138167 in words is "one hundred million, one hundred thirty-eight thousand, one hundred sixty-seven".