106132167 has 16 divisors (see below), whose sum is σ = 157946880. Its totient is φ = 70433496.

The previous prime is 106132151. The next prime is 106132177. The reversal of 106132167 is 761231601.

It is not a de Polignac number, because 106132167 - 2⁴ = 106132151 is a prime.

It is a super-2 number, since 2×106132167² = 22528073744231778, which contains 22 as substring.

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 106132167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132177) 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, 2793 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (9871680).

Almost surely, 2^106132167 is an apocalyptic number.

106132167 is a deficient number, since it is larger than the sum of its proper divisors (51814713).

106132167 is a wasteful number, since it uses less digits than its factorization.

106132167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17859 (or 17853 counting only the distinct ones).

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

The square root of 106132167 is about 10302.0467383914. The cubic root of 106132167 is about 473.4589644812.

Adding to 106132167 its reverse (761231601), we get a palindrome (867363768).

The spelling of 106132167 in words is "one hundred six million, one hundred thirty-two thousand, one hundred sixty-seven".