105937238509 has 2 divisors, whose sum is σ = 105937238510. Its totient is φ = 105937238508.

The previous prime is 105937238507. The next prime is 105937238531. The reversal of 105937238509 is 905832739501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62557513225 + 43379725284 = 250115^2 + 208278^2 .

It is a cyclic number.

It is not a de Polignac number, because 105937238509 - 2¹ = 105937238507 is a prime.

It is a super-2 number, since 2×105937238509² (a number of 23 digits) contains 22 as substring.

Together with 105937238507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105937238507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52968619254 + 52968619255.

It is an arithmetic number, because the mean of its divisors is an integer number (52968619255).

Almost surely, 2^105937238509 is an apocalyptic number.

It is an amenable number.

105937238509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105937238509 is an equidigital number, since it uses as much as digits as its factorization.

105937238509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2041200, while the sum is 52.

The spelling of 105937238509 in words is "one hundred five billion, nine hundred thirty-seven million, two hundred thirty-eight thousand, five hundred nine".