42461100 has 108 divisors (see below), whose sum is σ = 145225080. Its totient is φ = 10291200.

The previous prime is 42461077. The next prime is 42461101. The reversal of 42461100 is 116424.

It is a super-3 number, since 3×42461100³ (a number of 24 digits) contains 333 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 (42461101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7756 + ... + 12044.

Almost surely, 2^42461100 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 42461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72612540).

42461100 is an abundant number, since it is smaller than the sum of its proper divisors (102763980).

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

42461100 is a wasteful number, since it uses less digits than its factorization.

42461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4310 counting only the distinct ones).

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

The square root of 42461100 is about 6516.2182283898. The cubic root of 42461100 is about 348.8700977674.

Adding to 42461100 its reverse (116424), we get a palindrome (42577524).

The spelling of 42461100 in words is "forty-two million, four hundred sixty-one thousand, one hundred".