105166117 has 4 divisors (see below), whose sum is σ = 120189856. Its totient is φ = 90142380.

The previous prime is 105166031. The next prime is 105166129. The reversal of 105166117 is 711661501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 711661501 = 3361 ⋅211741.

It is a cyclic number.

It is not a de Polignac number, because 105166117 - 2¹⁵ = 105133349 is a prime.

It is a super-2 number, since 2×105166117² = 22119824329715378, 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 (105166147) 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, 7511859 + ... + 7511872.

It is an arithmetic number, because the mean of its divisors is an integer number (30047464).

Almost surely, 2^105166117 is an apocalyptic number.

It is an amenable number.

105166117 is a deficient number, since it is larger than the sum of its proper divisors (15023739).

105166117 is an equidigital number, since it uses as much as digits as its factorization.

105166117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15023738.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 105166117 is about 10255.0532421826. The cubic root of 105166117 is about 472.0180571589.

The spelling of 105166117 in words is "one hundred five million, one hundred sixty-six thousand, one hundred seventeen".