105690581 has 8 divisors (see below), whose sum is σ = 112131864. Its totient is φ = 99274240.

The previous prime is 105690577. The next prime is 105690601. The reversal of 105690581 is 185096501.

It can be written as a sum of positive squares in 4 ways, for example, as 35700625 + 69989956 = 5975^2 + 8366^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105690581 - 2² = 105690577 is a prime.

It is a super-2 number, since 2×105690581² = 22340997824235122, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105690511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2891 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (14016483).

Almost surely, 2^105690581 is an apocalyptic number.

It is an amenable number.

105690581 is a deficient number, since it is larger than the sum of its proper divisors (6441283).

105690581 is a wasteful number, since it uses less digits than its factorization.

105690581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12471.

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

The square root of 105690581 is about 10280.5924440180. The cubic root of 105690581 is about 472.8014086157.

The spelling of 105690581 in words is "one hundred five million, six hundred ninety thousand, five hundred eighty-one".