27105341733 has 12 divisors (see below), whose sum is σ = 39153587148. Its totient is φ = 18069569280.

The previous prime is 27105341729. The next prime is 27105341759. The reversal of 27105341733 is 33714350172.

It can be written as a sum of positive squares in 2 ways, for example, as 15471130689 + 11634211044 = 124383^2 + 107862^2 .

It is not a de Polignac number, because 27105341733 - 2² = 27105341729 is a prime.

It is a super-2 number, since 2×27105341733² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27105341533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466453 + ... + 521333.

It is an arithmetic number, because the mean of its divisors is an integer number (3262798929).

Almost surely, 2^27105341733 is an apocalyptic number.

It is an amenable number.

27105341733 is a deficient number, since it is larger than the sum of its proper divisors (12048245415).

27105341733 is a wasteful number, since it uses less digits than its factorization.

27105341733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109764 (or 109761 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 27105341733 its sum of digits (36), we get a square (27105341769 = 164637²).

The spelling of 27105341733 in words is "twenty-seven billion, one hundred five million, three hundred forty-one thousand, seven hundred thirty-three".