105713437 has 2 divisors, whose sum is σ = 105713438. Its totient is φ = 105713436.

The previous prime is 105713423. The next prime is 105713483. The reversal of 105713437 is 734317501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105083001 + 630436 = 10251^2 + 794^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105713437 is a prime.

It is a super-3 number, since 3×105713437³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105713399 and 105713408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105713537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52856718 + 52856719.

It is an arithmetic number, because the mean of its divisors is an integer number (52856719).

Almost surely, 2^105713437 is an apocalyptic number.

It is an amenable number.

105713437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105713437 is an equidigital number, since it uses as much as digits as its factorization.

105713437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 105713437 is about 10281.7039930159. The cubic root of 105713437 is about 472.8354878749.

The spelling of 105713437 in words is "one hundred five million, seven hundred thirteen thousand, four hundred thirty-seven".