42112100 has 18 divisors (see below), whose sum is σ = 91383474. Its totient is φ = 16844800.

The previous prime is 42112079. The next prime is 42112127. The reversal of 42112100 is 121124.

It can be written as a sum of positive squares in 3 ways, for example, as 17956 + 42094144 = 134^2 + 6488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210461 + ... + 210660.

Almost surely, 2^42112100 is an apocalyptic number.

It is an amenable number.

42112100 is an abundant number, since it is smaller than the sum of its proper divisors (49271374).

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

42112100 is a wasteful number, since it uses less digits than its factorization.

42112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421135 (or 421128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 42112100 is about 6489.3836379120. The cubic root of 42112100 is about 347.9116457776.

Adding to 42112100 its reverse (121124), we get a palindrome (42233224).

It can be divided in two parts, 421 and 12100, that added together give a palindrome (12521).

The spelling of 42112100 in words is "forty-two million, one hundred twelve thousand, one hundred".