105985801 has 2 divisors, whose sum is σ = 105985802. Its totient is φ = 105985800.

The previous prime is 105985783. The next prime is 105985829. The reversal of 105985801 is 108589501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62425801 + 43560000 = 7901^2 + 6600^2 .

It is a cyclic number.

It is not a de Polignac number, because 105985801 - 2⁷ = 105985673 is a prime.

It is a super-2 number, since 2×105985801² = 22465980027223202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105985601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52992900 + 52992901.

It is an arithmetic number, because the mean of its divisors is an integer number (52992901).

Almost surely, 2^105985801 is an apocalyptic number.

It is an amenable number.

105985801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105985801 is an equidigital number, since it uses as much as digits as its factorization.

105985801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 37.

The square root of 105985801 is about 10294.9405534952. The cubic root of 105985801 is about 473.2412165624.

The spelling of 105985801 in words is "one hundred five million, nine hundred eighty-five thousand, eight hundred one".