105713868 has 48 divisors (see below), whose sum is σ = 268120160. Its totient is φ = 32223744.

The previous prime is 105713849. The next prime is 105713869. The reversal of 105713868 is 868317501.

It is a super-2 number, since 2×105713868² = 22350843775042848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (105713869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13896 + ... + 20112.

Almost surely, 2^105713868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105713868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134060080).

105713868 is an abundant number, since it is smaller than the sum of its proper divisors (162406292).

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

105713868 is a wasteful number, since it uses less digits than its factorization.

105713868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 105713868 is about 10281.7249525554. The cubic root of 105713868 is about 472.8361304669.

The spelling of 105713868 in words is "one hundred five million, seven hundred thirteen thousand, eight hundred sixty-eight".