105140837 has 2 divisors, whose sum is σ = 105140838. Its totient is φ = 105140836.

The previous prime is 105140779. The next prime is 105140857. The reversal of 105140837 is 738041501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100620961 + 4519876 = 10031^2 + 2126^2 .

It is a cyclic number.

It is not a de Polignac number, because 105140837 - 2¹⁰ = 105139813 is a prime.

It is a super-2 number, since 2×105140837² = 22109191210121138, 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 (105140857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52570418 + 52570419.

It is an arithmetic number, because the mean of its divisors is an integer number (52570419).

Almost surely, 2^105140837 is an apocalyptic number.

It is an amenable number.

105140837 is a deficient number, since it is larger than the sum of its proper divisors (1).

105140837 is an equidigital number, since it uses as much as digits as its factorization.

105140837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 105140837 is about 10253.8206050233. The cubic root of 105140837 is about 471.9802326419.

The spelling of 105140837 in words is "one hundred five million, one hundred forty thousand, eight hundred thirty-seven".