105683307 has 16 divisors (see below), whose sum is σ = 144986112. Its totient is φ = 68440640.

The previous prime is 105683297. The next prime is 105683311. The reversal of 105683307 is 703386501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105683307 - 2²³ = 97294699 is a prime.

It is a super-2 number, since 2×105683307² = 22337922756912498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105683327) 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, 16582 + ... + 22052.

It is an arithmetic number, because the mean of its divisors is an integer number (9061632).

Almost surely, 2^105683307 is an apocalyptic number.

105683307 is a deficient number, since it is larger than the sum of its proper divisors (39302805).

105683307 is a wasteful number, since it uses less digits than its factorization.

105683307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105683307 is about 10280.2386645447. The cubic root of 105683307 is about 472.7905617445.

The spelling of 105683307 in words is "one hundred five million, six hundred eighty-three thousand, three hundred seven".