105337273 has 12 divisors (see below), whose sum is σ = 112234980. Its totient is φ = 98840736.

The previous prime is 105337249. The next prime is 105337291. The reversal of 105337273 is 372733501.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 75394489 = 5472^2 + 8683^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105337273 is a prime.

It is a super-2 number, since 2×105337273² = 22191882166153058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105337223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38011 + ... + 40687.

It is an arithmetic number, because the mean of its divisors is an integer number (9352915).

Almost surely, 2^105337273 is an apocalyptic number.

It is an amenable number.

105337273 is a deficient number, since it is larger than the sum of its proper divisors (6897707).

105337273 is a wasteful number, since it uses less digits than its factorization.

105337273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 31.

The square root of 105337273 is about 10263.3948087365. The cubic root of 105337273 is about 472.2739853897.

The spelling of 105337273 in words is "one hundred five million, three hundred thirty-seven thousand, two hundred seventy-three".