42740100 has 162 divisors, whose sum is σ = 145580526. Its totient is φ = 10483200.

The previous prime is 42740059. The next prime is 42740107. The reversal of 42740100 is 104724.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 23503104 + 19236996 = 4848^2 + 4386^2 .

It is a super-2 number, since 2×42740100² = 3653432296020000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42740107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151960 + ... + 152240.

Almost surely, 2^42740100 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 42740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72790263).

42740100 is an abundant number, since it is smaller than the sum of its proper divisors (102840426).

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

42740100 is a wasteful number, since it uses less digits than its factorization.

42740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42740100 is about 6537.5912995537. The cubic root of 42740100 is about 349.6325395131.

Adding to 42740100 its reverse (104724), we get a palindrome (42844824).

The spelling of 42740100 in words is "forty-two million, seven hundred forty thousand, one hundred".