42038100 has 108 divisors (see below), whose sum is σ = 141941436. Its totient is φ = 10344960.

The previous prime is 42038083. The next prime is 42038107. The reversal of 42038100 is 183024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7322436 + 34715664 = 2706^2 + 5892^2 .

It is a super-2 number, since 2×42038100² = 3534403703220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42038107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9904 + ... + 13496.

Almost surely, 2^42038100 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 42038100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70970718).

42038100 is an abundant number, since it is smaller than the sum of its proper divisors (99903336).

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

42038100 is a wasteful number, since it uses less digits than its factorization.

42038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42038100 is about 6483.6795108950. The cubic root of 42038100 is about 347.7077411466.

The spelling of 42038100 in words is "forty-two million, thirty-eight thousand, one hundred".