105838683701 has 2 divisors, whose sum is σ = 105838683702. Its totient is φ = 105838683700.

The previous prime is 105838683683. The next prime is 105838683719. The reversal of 105838683701 is 107386838501.

It is a balanced prime because it is at equal distance from previous prime (105838683683) and next prime (105838683719).

It can be written as a sum of positive squares in only one way, i.e., 86406602500 + 19432081201 = 293950^2 + 139399^2 .

It is a cyclic number.

It is not a de Polignac number, because 105838683701 - 2³⁰ = 104764941877 is a prime.

It is a super-2 number, since 2×105838683701² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105838683701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105838683761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52919341850 + 52919341851.

It is an arithmetic number, because the mean of its divisors is an integer number (52919341851).

Almost surely, 2^105838683701 is an apocalyptic number.

It is an amenable number.

105838683701 is a deficient number, since it is larger than the sum of its proper divisors (1).

105838683701 is an equidigital number, since it uses as much as digits as its factorization.

105838683701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 105838683701 in words is "one hundred five billion, eight hundred thirty-eight million, six hundred eighty-three thousand, seven hundred one".