105713060 has 48 divisors (see below), whose sum is σ = 234662400. Its totient is φ = 39921024.

The previous prime is 105713059. The next prime is 105713063. The reversal of 105713060 is 60317501.

It is a super-2 number, since 2×105713060² = 22350502109127200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (105713063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34886 + ... + 37794.

It is an arithmetic number, because the mean of its divisors is an integer number (4888800).

Almost surely, 2^105713060 is an apocalyptic number.

105713060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105713060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331200).

105713060 is an abundant number, since it is smaller than the sum of its proper divisors (128949340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105713060 is a wasteful number, since it uses less digits than its factorization.

105713060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 105713060 is about 10281.6856594627. The cubic root of 105713060 is about 472.8349257919.

It can be divided in two parts, 10571 and 3060, that added together give a palindrome (13631).

The spelling of 105713060 in words is "one hundred five million, seven hundred thirteen thousand, sixty".