105880017 has 16 divisors (see below), whose sum is σ = 148779648. Its totient is φ = 66844800.

The previous prime is 105880013. The next prime is 105880057. The reversal of 105880017 is 710088501.

It is not a de Polignac number, because 105880017 - 2² = 105880013 is a prime.

It is a super-2 number, since 2×105880017² = 22421155999840578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105880013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (9298728).

Almost surely, 2^105880017 is an apocalyptic number.

It is an amenable number.

105880017 is a deficient number, since it is larger than the sum of its proper divisors (42899631).

105880017 is a wasteful number, since it uses less digits than its factorization.

105880017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320.

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 105880017 is about 10289.8016015859. The cubic root of 105880017 is about 473.0837174352.

The spelling of 105880017 in words is "one hundred five million, eight hundred eighty thousand, seventeen".