100116167 has 4 divisors (see below), whose sum is σ = 100226976. Its totient is φ = 100005360.

The previous prime is 100116161. The next prime is 100116193. The reversal of 100116167 is 761611001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 761611001 = 3407 ⋅223543.

It is a cyclic number.

It is not a de Polignac number, because 100116167 - 2²⁴ = 83338951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100116161) 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, 54038 + ... + 55859.

It is an arithmetic number, because the mean of its divisors is an integer number (25056744).

Almost surely, 2^100116167 is an apocalyptic number.

100116167 is a deficient number, since it is larger than the sum of its proper divisors (110809).

100116167 is an equidigital number, since it uses as much as digits as its factorization.

100116167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110808.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 100116167 is about 10005.8066641326. The cubic root of 100116167 is about 464.3385469593.

Adding to 100116167 its reverse (761611001), we get a palindrome (861727168).

The spelling of 100116167 in words is "one hundred million, one hundred sixteen thousand, one hundred sixty-seven".