105202997 has 2 divisors, whose sum is σ = 105202998. Its totient is φ = 105202996.

The previous prime is 105202963. The next prime is 105203011. The reversal of 105202997 is 799202501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77598481 + 27604516 = 8809^2 + 5254^2 .

It is an emirp because it is prime and its reverse (799202501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105202997 - 2¹² = 105198901 is a prime.

It is a super-2 number, since 2×105202997² = 22135341155564018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105202907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52601498 + 52601499.

It is an arithmetic number, because the mean of its divisors is an integer number (52601499).

Almost surely, 2^105202997 is an apocalyptic number.

It is an amenable number.

105202997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105202997 is an equidigital number, since it uses as much as digits as its factorization.

105202997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 105202997 is about 10256.8512224756. The cubic root of 105202997 is about 472.0732269923.

The spelling of 105202997 in words is "one hundred five million, two hundred two thousand, nine hundred ninety-seven".