101326167 has 16 divisors (see below), whose sum is σ = 150357760. Its totient is φ = 67440600.

The previous prime is 101326163. The next prime is 101326213. The reversal of 101326167 is 761623101.

101326167 is a `hidden beast` number, since 10 + 1 + 32 + 616 + 7 = 666.

It is not a de Polignac number, because 101326167 - 2² = 101326163 is a prime.

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

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 101326167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101326163) 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 15 ways as a sum of consecutive naturals, for example, 15942 + ... + 21372.

It is an arithmetic number, because the mean of its divisors is an integer number (9397360).

Almost surely, 2^101326167 is an apocalyptic number.

101326167 is a deficient number, since it is larger than the sum of its proper divisors (49031593).

101326167 is an equidigital number, since it uses as much as digits as its factorization.

101326167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101326167 is about 10066.0899558865. The cubic root of 101326167 is about 466.2017199707.

Adding to 101326167 its reverse (761623101), we get a palindrome (862949268).

The spelling of 101326167 in words is "one hundred one million, three hundred twenty-six thousand, one hundred sixty-seven".