42810600 has 96 divisors (see below), whose sum is σ = 151686720. Its totient is φ = 9784320.

The previous prime is 42810587. The next prime is 42810643. The reversal of 42810600 is 601824.

42810600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (1580070).

Almost surely, 2^42810600 is an apocalyptic number.

42810600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42810600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75843360).

42810600 is an abundant number, since it is smaller than the sum of its proper divisors (108876120).

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

42810600 is a wasteful number, since it uses less digits than its factorization.

42810600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42810600 is about 6542.9809720035. The cubic root of 42810600 is about 349.8246740932.

The spelling of 42810600 in words is "forty-two million, eight hundred ten thousand, six hundred".