105072997 has 2 divisors, whose sum is σ = 105072998. Its totient is φ = 105072996.

The previous prime is 105072991. The next prime is 105073013. The reversal of 105072997 is 799270501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95531076 + 9541921 = 9774^2 + 3089^2 .

It is a cyclic number.

It is not a de Polignac number, because 105072997 - 2¹¹ = 105070949 is a prime.

It is a super-2 number, since 2×105072997² = 22080669397124018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105072991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52536498 + 52536499.

It is an arithmetic number, because the mean of its divisors is an integer number (52536499).

Almost surely, 2^105072997 is an apocalyptic number.

It is an amenable number.

105072997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105072997 is an equidigital number, since it uses as much as digits as its factorization.

105072997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39690, while the sum is 40.

The square root of 105072997 is about 10250.5120359912. The cubic root of 105072997 is about 471.8786988994.

It can be divided in two parts, 1050 and 72997, that added together give a palindrome (74047).

The spelling of 105072997 in words is "one hundred five million, seventy-two thousand, nine hundred ninety-seven".