42996100 has 72 divisors (see below), whose sum is σ = 107493120. Its totient is φ = 14622720.

The previous prime is 42996097. The next prime is 42996113. The reversal of 42996100 is 169924.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 167172 + ... + 167428.

It is an arithmetic number, because the mean of its divisors is an integer number (1492960).

Almost surely, 2^42996100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42996100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746560).

42996100 is an abundant number, since it is smaller than the sum of its proper divisors (64497020).

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

42996100 is a wasteful number, since it uses less digits than its factorization.

42996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 42996100 is about 6557.1411453468. The cubic root of 42996100 is about 350.3292140499.

The spelling of 42996100 in words is "forty-two million, nine hundred ninety-six thousand, one hundred".