105486436037 has 2 divisors, whose sum is σ = 105486436038. Its totient is φ = 105486436036.

The previous prime is 105486436001. The next prime is 105486436039. The reversal of 105486436037 is 730634684501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105218491876 + 267944161 = 324374^2 + 16369^2 .

It is a cyclic number.

It is not a de Polignac number, because 105486436037 - 2²⁰ = 105485387461 is a prime.

It is a super-2 number, since 2×105486436037² (a number of 23 digits) contains 22 as substring.

Together with 105486436039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105486435982 and 105486436000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105486436039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52743218018 + 52743218019.

It is an arithmetic number, because the mean of its divisors is an integer number (52743218019).

Almost surely, 2^105486436037 is an apocalyptic number.

It is an amenable number.

105486436037 is a deficient number, since it is larger than the sum of its proper divisors (1).

105486436037 is an equidigital number, since it uses as much as digits as its factorization.

105486436037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 47.

It can be divided in two parts, 1054864 and 36037, that added together give a palindrome (1090901).

The spelling of 105486436037 in words is "one hundred five billion, four hundred eighty-six million, four hundred thirty-six thousand, thirty-seven".