105165270437 has 2 divisors, whose sum is σ = 105165270438. Its totient is φ = 105165270436.

The previous prime is 105165270347. The next prime is 105165270451. The reversal of 105165270437 is 734072561501.

Together with previous prime (105165270347) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104674249156 + 491021281 = 323534^2 + 22159^2 .

It is a cyclic number.

It is not a de Polignac number, because 105165270437 - 2⁸ = 105165270181 is a prime.

It is a super-2 number, since 2×105165270437² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105165270394 and 105165270403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105165270467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582635218 + 52582635219.

It is an arithmetic number, because the mean of its divisors is an integer number (52582635219).

Almost surely, 2^105165270437 is an apocalyptic number.

It is an amenable number.

105165270437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165270437 is an equidigital number, since it uses as much as digits as its factorization.

105165270437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 105165270437 in words is "one hundred five billion, one hundred sixty-five million, two hundred seventy thousand, four hundred thirty-seven".