105166097 has 16 divisors (see below), whose sum is σ = 116733312. Its totient is φ = 94237440.

The previous prime is 105166031. The next prime is 105166129. The reversal of 105166097 is 790661501.

It is not a de Polignac number, because 105166097 - 2¹⁶ = 105100561 is a prime.

It is a super-2 number, since 2×105166097² = 22119815916426818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105166027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107822 + ... + 108792.

It is an arithmetic number, because the mean of its divisors is an integer number (7295832).

Almost surely, 2^105166097 is an apocalyptic number.

105166097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105166097 is a deficient number, since it is larger than the sum of its proper divisors (11567215).

105166097 is a wasteful number, since it uses less digits than its factorization.

105166097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 105166097 is about 10255.0522670535. The cubic root of 105166097 is about 472.0180272369.

The spelling of 105166097 in words is "one hundred five million, one hundred sixty-six thousand, ninety-seven".