107212167 has 20 divisors (see below), whose sum is σ = 165326656. Its totient is φ = 69167520.

The previous prime is 107212153. The next prime is 107212187. The reversal of 107212167 is 761212701.

It is not a de Polignac number, because 107212167 - 2⁴ = 107212151 is a prime.

It is a super-2 number, since 2×107212167² = 22988897505671778, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

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 107212167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107212187) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18838 + ... + 23859.

Almost surely, 2^107212167 is an apocalyptic number.

107212167 is a deficient number, since it is larger than the sum of its proper divisors (58114489).

107212167 is an equidigital number, since it uses as much as digits as its factorization.

107212167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42740 (or 42731 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 107212167 is about 10354.3308330379. The cubic root of 107212167 is about 475.0595190422.

Adding to 107212167 its reverse (761212701), we get a palindrome (868424868).

The spelling of 107212167 in words is "one hundred seven million, two hundred twelve thousand, one hundred sixty-seven".