42406100 has 72 divisors (see below), whose sum is σ = 105722400. Its totient is φ = 14601600.

The previous prime is 42406093. The next prime is 42406103. The reversal of 42406100 is 160424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42406103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19886 + ... + 21914.

Almost surely, 2^42406100 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 42406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52861200).

42406100 is an abundant number, since it is smaller than the sum of its proper divisors (63316300).

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

42406100 is a wasteful number, since it uses less digits than its factorization.

42406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42406100 is about 6511.9966216207. The cubic root of 42406100 is about 348.7194018281.

Adding to 42406100 its reverse (160424), we get a palindrome (42566524).

It can be divided in two parts, 4 and 2406100, that added together give a cube (2406104 = 134³).

The spelling of 42406100 in words is "forty-two million, four hundred six thousand, one hundred".