105166251 has 12 divisors (see below), whose sum is σ = 152025328. Its totient is φ = 70056144.

The previous prime is 105166241. The next prime is 105166253. The reversal of 105166251 is 152661501.

It is a happy number.

It is not a de Polignac number, because 105166251 - 2⁵ = 105166219 is a prime.

It is a super-2 number, since 2×105166251² = 22119880698790002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105166253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10101 + ... + 17673.

Almost surely, 2^105166251 is an apocalyptic number.

105166251 is a deficient number, since it is larger than the sum of its proper divisors (46859077).

105166251 is a wasteful number, since it uses less digits than its factorization.

105166251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105166251 is about 10255.0597755449. The cubic root of 105166251 is about 472.0182576367.

The spelling of 105166251 in words is "one hundred five million, one hundred sixty-six thousand, two hundred fifty-one".