42105200 has 30 divisors (see below), whose sum is σ = 101158704. Its totient is φ = 16841920.

The previous prime is 42105191. The next prime is 42105211. The reversal of 42105200 is 250124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52232 + ... + 53031.

Almost surely, 2^42105200 is an apocalyptic number.

42105200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42105200 is an abundant number, since it is smaller than the sum of its proper divisors (59053504).

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

42105200 is a wasteful number, since it uses less digits than its factorization.

42105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105281 (or 105270 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42105200 is about 6488.8519785860. The cubic root of 42105200 is about 347.8926431514.

Adding to 42105200 its reverse (250124), we get a palindrome (42355324).

The spelling of 42105200 in words is "forty-two million, one hundred five thousand, two hundred".