100165105 has 16 divisors (see below), whose sum is σ = 130712400. Its totient is φ = 73377792.

The previous prime is 100165099. The next prime is 100165129. The reversal of 100165105 is 501561001.

It can be written as a sum of positive squares in 8 ways, for example, as 9096256 + 91068849 = 3016^2 + 9543^2 .

It is a cyclic number.

It is not a de Polignac number, because 100165105 - 2⁵ = 100165073 is a prime.

It is a super-2 number, since 2×100165105² = 20066096519322050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12780 + ... + 19069.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^100165105 is an apocalyptic number.

It is an amenable number.

100165105 is a deficient number, since it is larger than the sum of its proper divisors (30547295).

100165105 is a wasteful number, since it uses less digits than its factorization.

100165105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31908.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 100165105 is about 10008.2518453524. The cubic root of 100165105 is about 464.4141927447.

The spelling of 100165105 in words is "one hundred million, one hundred sixty-five thousand, one hundred five".