105722537 has 2 divisors, whose sum is σ = 105722538. Its totient is φ = 105722536.

The previous prime is 105722501. The next prime is 105722543. The reversal of 105722537 is 735227501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80209936 + 25512601 = 8956^2 + 5051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105722537 is a prime.

It is a super-2 number, since 2×105722537² = 22354509659432738, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6071765 and since 105722537 and 6071765 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105722567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52861268 + 52861269.

It is an arithmetic number, because the mean of its divisors is an integer number (52861269).

Almost surely, 2^105722537 is an apocalyptic number.

It is an amenable number.

105722537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105722537 is an equidigital number, since it uses as much as digits as its factorization.

105722537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 105722537 is about 10282.1465171432. The cubic root of 105722537 is about 472.8490549912.

The spelling of 105722537 in words is "one hundred five million, seven hundred twenty-two thousand, five hundred thirty-seven".