42294105 has 36 divisors (see below), whose sum is σ = 85283172. Its totient is φ = 19333440.

The previous prime is 42294103. The next prime is 42294107. The reversal of 42294105 is 50149224.

42294105 = 13² + 14² + ... + 502².

42294105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42294103) and next prime (42294107).

It can be written as a sum of positive squares in 2 ways, for example, as 23941449 + 18352656 = 4893^2 + 4284^2 .

It is not a de Polignac number, because 42294105 - 2¹ = 42294103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42294101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7386 + ... + 11795.

It is an arithmetic number, because the mean of its divisors is an integer number (2368977).

Almost surely, 2^42294105 is an apocalyptic number.

42294105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42294105 is an abundant number, since it is smaller than the sum of its proper divisors (42989067).

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

42294105 is a wasteful number, since it uses less digits than its factorization.

42294105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19206 (or 19196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42294105 is about 6503.3918073571. The cubic root of 42294105 is about 348.4121405193.

The spelling of 42294105 in words is "forty-two million, two hundred ninety-four thousand, one hundred five".