105200713 has 2 divisors, whose sum is σ = 105200714. Its totient is φ = 105200712.

The previous prime is 105200659. The next prime is 105200723. The reversal of 105200713 is 317002501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90478144 + 14722569 = 9512^2 + 3837^2 .

It is a cyclic number.

It is not a de Polignac number, because 105200713 - 2⁹ = 105200201 is a prime.

It is a super-2 number, since 2×105200713² = 22134380031416738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105200723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600356 + 52600357.

It is an arithmetic number, because the mean of its divisors is an integer number (52600357).

Almost surely, 2^105200713 is an apocalyptic number.

It is an amenable number.

105200713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105200713 is an equidigital number, since it uses as much as digits as its factorization.

105200713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105200713 is about 10256.7398816583. The cubic root of 105200713 is about 472.0698106667.

The spelling of 105200713 in words is "one hundred five million, two hundred thousand, seven hundred thirteen".