105611009 has 16 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 85359120.

The previous prime is 105610997. The next prime is 105611027. The reversal of 105611009 is 900116501.

It is not a de Polignac number, because 105611009 - 2²⁴ = 88833793 is a prime.

It is a super-2 number, since 2×105611009² = 22307370443996162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105611059) 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, 6812 + ... + 16050.

It is an arithmetic number, because the mean of its divisors is an integer number (7983360).

Almost surely, 2^105611009 is an apocalyptic number.

It is an amenable number.

105611009 is a deficient number, since it is larger than the sum of its proper divisors (22122751).

105611009 is an equidigital number, since it uses as much as digits as its factorization.

105611009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 105611009 is about 10276.7217049018. The cubic root of 105611009 is about 472.6827250686.

The spelling of 105611009 in words is "one hundred five million, six hundred eleven thousand, nine".