1056104088084 has 288 divisors, whose sum is σ = 2876395826304. Its totient is φ = 326182671360.

The previous prime is 1056104088077. The next prime is 1056104088089. The reversal of 1056104088084 is 4808804016501.

1056104088084 is a `hidden beast` number, since 1 + 0 + 561 + 0 + 4 + 0 + 8 + 8 + 0 + 84 = 666.

It is a super-2 number, since 2×1056104088084² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056104088089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525162639 + ... + 525164649.

It is an arithmetic number, because the mean of its divisors is an integer number (9987485508).

Almost surely, 2^{1056104088084} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056104088084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438197913152).

1056104088084 is an abundant number, since it is smaller than the sum of its proper divisors (1820291738220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056104088084 is a wasteful number, since it uses less digits than its factorization.

1056104088084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1056104088084 in words is "one trillion, fifty-six billion, one hundred four million, eighty-eight thousand, eighty-four".