105713773 has 24 divisors (see below), whose sum is σ = 124066656. Its totient is φ = 89258400.

The previous prime is 105713761. The next prime is 105713779. The reversal of 105713773 is 377317501.

It is a happy number.

It is not a de Polignac number, because 105713773 - 2⁹ = 105713261 is a prime.

It is a super-2 number, since 2×105713773² = 22350803603791058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105713779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215058 + ... + 215548.

It is an arithmetic number, because the mean of its divisors is an integer number (5169444).

Almost surely, 2^105713773 is an apocalyptic number.

It is an amenable number.

105713773 is a deficient number, since it is larger than the sum of its proper divisors (18352883).

105713773 is a wasteful number, since it uses less digits than its factorization.

105713773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 34.

The square root of 105713773 is about 10281.7203327070. The cubic root of 105713773 is about 472.8359888284.

The spelling of 105713773 in words is "one hundred five million, seven hundred thirteen thousand, seven hundred seventy-three".