105803688837 has 64 divisors (see below), whose sum is σ = 178298910720. Its totient is φ = 54209740800.

The previous prime is 105803688821. The next prime is 105803688839. The reversal of 105803688837 is 738886308501.

It is not a de Polignac number, because 105803688837 - 2⁴ = 105803688821 is a prime.

It is a super-2 number, since 2×105803688837² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105803688839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12285589 + ... + 12294197.

It is an arithmetic number, because the mean of its divisors is an integer number (2785920480).

Almost surely, 2^105803688837 is an apocalyptic number.

It is an amenable number.

105803688837 is a deficient number, since it is larger than the sum of its proper divisors (72495221883).

105803688837 is a wasteful number, since it uses less digits than its factorization.

105803688837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354.

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 105803688837 in words is "one hundred five billion, eight hundred three million, six hundred eighty-eight thousand, eight hundred thirty-seven".