42106905 has 64 divisors (see below), whose sum is σ = 79626240. Its totient is φ = 21067200.

The previous prime is 42106903. The next prime is 42106919. The reversal of 42106905 is 50960124.

It is not a de Polignac number, because 42106905 - 2¹ = 42106903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42106901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220360 + ... + 220550.

It is an arithmetic number, because the mean of its divisors is an integer number (1244160).

Almost surely, 2^42106905 is an apocalyptic number.

42106905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42106905 is a deficient number, since it is larger than the sum of its proper divisors (37519335).

42106905 is a wasteful number, since it uses less digits than its factorization.

42106905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42106905 is about 6488.9833564280. The cubic root of 42106905 is about 347.8973389210.

The spelling of 42106905 in words is "forty-two million, one hundred six thousand, nine hundred five".