105820690 has 32 divisors (see below), whose sum is σ = 201421440. Its totient is φ = 39916800.

The previous prime is 105820679. The next prime is 105820691. The reversal of 105820690 is 96028501.

It is a super-2 number, since 2×105820690² = 22396036864152200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105820691) 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, 44635 + ... + 46945.

It is an arithmetic number, because the mean of its divisors is an integer number (6294420).

Almost surely, 2^105820690 is an apocalyptic number.

105820690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105820690 is a deficient number, since it is larger than the sum of its proper divisors (95600750).

105820690 is a wasteful number, since it uses less digits than its factorization.

105820690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 105820690 is about 10286.9183918217. The cubic root of 105820690 is about 472.9953410439.

The spelling of 105820690 in words is "one hundred five million, eight hundred twenty thousand, six hundred ninety".