42744100 has 72 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 14536320.

The previous prime is 42744067. The next prime is 42744127. The reversal of 42744100 is 144724.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158766 + ... + 159034.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^42744100 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 42744100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

42744100 is an abundant number, since it is smaller than the sum of its proper divisors (64124060).

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

42744100 is a wasteful number, since it uses less digits than its factorization.

42744100 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 42744100 is about 6537.8972154661. The cubic root of 42744100 is about 349.6434464173.

Adding to 42744100 its reverse (144724), we get a palindrome (42888824).

The spelling of 42744100 in words is "forty-two million, seven hundred forty-four thousand, one hundred".