1083688101 has 12 divisors (see below), whose sum is σ = 1569050860. Its totient is φ = 720740160.

The previous prime is 1083688057. The next prime is 1083688127. The reversal of 1083688101 is 1018863801.

It can be written as a sum of positive squares in 2 ways, for example, as 407636100 + 676052001 = 20190^2 + 26001^2 .

It is not a de Polignac number, because 1083688101 - 2¹⁵ = 1083655333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083688141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139216 + ... + 146793.

Almost surely, 2^1083688101 is an apocalyptic number.

It is an amenable number.

1083688101 is a deficient number, since it is larger than the sum of its proper divisors (485362759).

1083688101 is a wasteful number, since it uses less digits than its factorization.

1083688101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286436 (or 286433 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1083688101 is about 32919.4182968047. The cubic root of 1083688101 is about 1027.1521233408.

The spelling of 1083688101 in words is "one billion, eighty-three million, six hundred eighty-eight thousand, one hundred one".