105200989 has 2 divisors, whose sum is σ = 105200990. Its totient is φ = 105200988.

The previous prime is 105200987. The next prime is 105201017. The reversal of 105200989 is 989002501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73188025 + 32012964 = 8555^2 + 5658^2 .

It is a cyclic number.

It is not a de Polignac number, because 105200989 - 2¹ = 105200987 is a prime.

It is a super-2 number, since 2×105200989² = 22134496173156242, which contains 22 as substring.

Together with 105200987, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105200983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600494 + 52600495.

It is an arithmetic number, because the mean of its divisors is an integer number (52600495).

Almost surely, 2^105200989 is an apocalyptic number.

It is an amenable number.

105200989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105200989 is an equidigital number, since it uses as much as digits as its factorization.

105200989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 105200989 is about 10256.7533362171. The cubic root of 105200989 is about 472.0702235003.

The spelling of 105200989 in words is "one hundred five million, two hundred thousand, nine hundred eighty-nine".