106972167 has 4 divisors (see below), whose sum is σ = 142629560. Its totient is φ = 71314776.

The previous prime is 106972139. The next prime is 106972183. The reversal of 106972167 is 761279601.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 106972167 - 2²³ = 98583559 is a prime.

It is a super-2 number, since 2×106972167² = 22886089025351778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106972067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17828692 + ... + 17828697.

It is an arithmetic number, because the mean of its divisors is an integer number (35657390).

Almost surely, 2^106972167 is an apocalyptic number.

106972167 is a deficient number, since it is larger than the sum of its proper divisors (35657393).

106972167 is an equidigital number, since it uses as much as digits as its factorization.

106972167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35657392.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 106972167 is about 10342.7349864531. The cubic root of 106972167 is about 474.7047724080.

The spelling of 106972167 in words is "one hundred six million, nine hundred seventy-two thousand, one hundred sixty-seven".