1105825751055 has 24 divisors (see below), whose sum is σ = 1921822091280. Its totient is φ = 588217593600.

The previous prime is 1105825751027. The next prime is 1105825751059. The reversal of 1105825751055 is 5501575285011.

1105825751055 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 82 + 5 + 7 + 510 + 55 = 666.

It is not a de Polignac number, because 1105825751055 - 2¹⁵ = 1105825718287 is a prime.

It is a super-2 number, since 2×1105825751055² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1105825751055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105825751059) 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 in 23 ways as a sum of consecutive naturals, for example, 32402346 + ... + 32436455.

It is an arithmetic number, because the mean of its divisors is an integer number (80075920470).

Almost surely, 2^{1105825751055} is an apocalyptic number.

1105825751055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1105825751055 is a deficient number, since it is larger than the sum of its proper divisors (815996340225).

1105825751055 is a wasteful number, since it uses less digits than its factorization.

1105825751055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64839191 (or 64839188 counting only the distinct ones).

The product of its (nonzero) digits is 350000, while the sum is 45.

The spelling of 1105825751055 in words is "one trillion, one hundred five billion, eight hundred twenty-five million, seven hundred fifty-one thousand, fifty-five".