42105310 has 32 divisors (see below), whose sum is σ = 81920160. Its totient is φ = 15489408.

The previous prime is 42105263. The next prime is 42105313. The reversal of 42105310 is 1350124.

It is a super-2 number, since 2×42105310² = 3545714260392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54084 + ... + 54856.

It is an arithmetic number, because the mean of its divisors is an integer number (2560005).

Almost surely, 2^42105310 is an apocalyptic number.

42105310 is a deficient number, since it is larger than the sum of its proper divisors (39814850).

42105310 is a wasteful number, since it uses less digits than its factorization.

42105310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 42105310 is about 6488.8604546561. The cubic root of 42105310 is about 347.8929461081.

Adding to 42105310 its reverse (1350124), we get a palindrome (43455434).

The spelling of 42105310 in words is "forty-two million, one hundred five thousand, three hundred ten".