105906581 has 6 divisors (see below), whose sum is σ = 116409846. Its totient is φ = 96278600.

The previous prime is 105906569. The next prime is 105906587. The reversal of 105906581 is 185609501.

It can be written as a sum of positive squares in only one way, i.e., 78605956 + 27300625 = 8866^2 + 5225^2 .

It is not a de Polignac number, because 105906581 - 2⁶ = 105906517 is a prime.

It is a super-2 number, since 2×105906581² = 22432407798219122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105906587) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437510 + ... + 437751.

It is an arithmetic number, because the mean of its divisors is an integer number (19401641).

Almost surely, 2^105906581 is an apocalyptic number.

105906581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105906581 is a deficient number, since it is larger than the sum of its proper divisors (10503265).

105906581 is an equidigital number, since it uses as much as digits as its factorization.

105906581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875283 (or 875272 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 105906581 is about 10291.0923132581. The cubic root of 105906581 is about 473.1232777646.

It can be divided in two parts, 10590 and 6581, that added together give a palindrome (17171).

The spelling of 105906581 in words is "one hundred five million, nine hundred six thousand, five hundred eighty-one".