105330827780053 has 8 divisors (see below), whose sum is σ = 109430577336600. Its totient is φ = 101262255026688.

The previous prime is 105330827780039. The next prime is 105330827780099. The reversal of 105330827780053 is 350087728033501.

It can be written as a sum of positive squares in 4 ways, for example, as 16327886845284 + 89002940934769 = 4040778^2 + 9434137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105330827780053 - 2¹³ = 105330827771861 is a prime.

It is a super-2 number, since 2×105330827780053² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105330827784053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7794193908 + ... + 7794207421.

It is an arithmetic number, because the mean of its divisors is an integer number (13678822167075).

Almost surely, 2^{105330827780053} is an apocalyptic number.

It is an amenable number.

105330827780053 is a deficient number, since it is larger than the sum of its proper divisors (4099749556547).

105330827780053 is a wasteful number, since it uses less digits than its factorization.

105330827780053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588401591.

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 105330827780053 in words is "one hundred five trillion, three hundred thirty billion, eight hundred twenty-seven million, seven hundred eighty thousand, fifty-three".