105713070 has 64 divisors (see below), whose sum is σ = 262918656. Its totient is φ = 27181440.

The previous prime is 105713063. The next prime is 105713071. The reversal of 105713070 is 70317501.

105713070 is a nontrivial binomial coefficient, being equal to C(14541, 2).

It is a super-2 number, since 2×105713070² = 22350506337649800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105713070.

It is a congruent number.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145047 + ... + 145773.

It is an arithmetic number, because the mean of its divisors is an integer number (4108104).

Almost surely, 2^105713070 is an apocalyptic number.

105713070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105713070 is the 14540-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105713070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

105713070 is an abundant number, since it is smaller than the sum of its proper divisors (157205586).

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

105713070 is a wasteful number, since it uses less digits than its factorization.

105713070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 105713070 is about 10281.6861457642. The cubic root of 105713070 is about 472.8349407012.

The spelling of 105713070 in words is "one hundred five million, seven hundred thirteen thousand, seventy".