42627105 has 48 divisors (see below), whose sum is σ = 76776336. Its totient is φ = 21864960.

The previous prime is 42627097. The next prime is 42627113. The reversal of 42627105 is 50172624.

It is an interprime number because it is at equal distance from previous prime (42627097) and next prime (42627113).

It can be written as a sum of positive squares in 8 ways, for example, as 12321 + 42614784 = 111^2 + 6528^2 .

It is not a de Polignac number, because 42627105 - 2³ = 42627097 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145339 + ... + 145631.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^42627105 is an apocalyptic number.

42627105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42627105 is a deficient number, since it is larger than the sum of its proper divisors (34149231).

42627105 is a wasteful number, since it uses less digits than its factorization.

42627105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42627105 is about 6528.9436358419. The cubic root of 42627105 is about 349.3241515620.

Adding to 42627105 its reverse (50172624), we get a palindrome (92799729).

The spelling of 42627105 in words is "forty-two million, six hundred twenty-seven thousand, one hundred five".