105713073 has 16 divisors (see below), whose sum is σ = 159268800. Its totient is φ = 69279840.

The previous prime is 105713071. The next prime is 105713099. The reversal of 105713073 is 370317501.

It is not a de Polignac number, because 105713073 - 2¹ = 105713071 is a prime.

It is a super-2 number, since 2×105713073² = 22350507606206658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105713071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31588 + ... + 34773.

It is an arithmetic number, because the mean of its divisors is an integer number (9954300).

Almost surely, 2^105713073 is an apocalyptic number.

It is an amenable number.

105713073 is a deficient number, since it is larger than the sum of its proper divisors (53555727).

105713073 is an equidigital number, since it uses as much as digits as its factorization.

105713073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66429 (or 66423 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 105713073 is about 10281.6862916547. The cubic root of 105713073 is about 472.8349451741.

The spelling of 105713073 in words is "one hundred five million, seven hundred thirteen thousand, seventy-three".