105072991 has 2 divisors, whose sum is σ = 105072992. Its totient is φ = 105072990.

The previous prime is 105072973. The next prime is 105072997. The reversal of 105072991 is 199270501.

It is a strong prime.

It is an emirp because it is prime and its reverse (199270501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105072991 - 2⁵ = 105072959 is a prime.

It is a super-2 number, since 2×105072991² = 22080666875372162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105072997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52536495 + 52536496.

It is an arithmetic number, because the mean of its divisors is an integer number (52536496).

Almost surely, 2^105072991 is an apocalyptic number.

105072991 is a deficient number, since it is larger than the sum of its proper divisors (1).

105072991 is an equidigital number, since it uses as much as digits as its factorization.

105072991 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 105072991 is about 10250.5117433229. The cubic root of 105072991 is about 471.8786899175.

The spelling of 105072991 in words is "one hundred five million, seventy-two thousand, nine hundred ninety-one".