105808509 has 24 divisors (see below), whose sum is σ = 157995552. Its totient is φ = 68191200.

The previous prime is 105808481. The next prime is 105808513. The reversal of 105808509 is 905808501.

It is not a de Polignac number, because 105808509 - 2¹¹ = 105806461 is a prime.

It is a super-2 number, since 2×105808509² = 22390881153606162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105808009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37734 + ... + 40440.

It is an arithmetic number, because the mean of its divisors is an integer number (6583148).

Almost surely, 2^105808509 is an apocalyptic number.

It is an amenable number.

105808509 is a deficient number, since it is larger than the sum of its proper divisors (52187043).

105808509 is a wasteful number, since it uses less digits than its factorization.

105808509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 105808509 is about 10286.3263121486. The cubic root of 105808509 is about 472.9771915454.

The spelling of 105808509 in words is "one hundred five million, eight hundred eight thousand, five hundred nine".