1083105763311 has 16 divisors (see below), whose sum is σ = 1696613224320. Its totient is φ = 605933293920.

The previous prime is 1083105763279. The next prime is 1083105763319. The reversal of 1083105763311 is 1133675013801.

It is not a de Polignac number, because 1083105763311 - 2⁵ = 1083105763279 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1083105763311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083105763319) 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, 1262360601 + ... + 1262361458.

It is an arithmetic number, because the mean of its divisors is an integer number (106038326520).

Almost surely, 2^{1083105763311} is an apocalyptic number.

1083105763311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1083105763311 is a deficient number, since it is larger than the sum of its proper divisors (613507461009).

1083105763311 is a wasteful number, since it uses less digits than its factorization.

1083105763311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524722086.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1083105763311 in words is "one trillion, eighty-three billion, one hundred five million, seven hundred sixty-three thousand, three hundred eleven".