42706100 has 36 divisors (see below), whose sum is σ = 94204908. Its totient is φ = 16800000.

The previous prime is 42706087. The next prime is 42706109. The reversal of 42706100 is 160724.

It can be written as a sum of positive squares in 6 ways, for example, as 9205156 + 33500944 = 3034^2 + 5788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42706109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2600 + ... + 9600.

It is an arithmetic number, because the mean of its divisors is an integer number (2616803).

Almost surely, 2^42706100 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 42706100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47102454).

42706100 is an abundant number, since it is smaller than the sum of its proper divisors (51498808).

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

42706100 is a wasteful number, since it uses less digits than its factorization.

42706100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 42706100 is about 6534.9904361062. The cubic root of 42706100 is about 349.5398033400.

Adding to 42706100 its reverse (160724), we get a palindrome (42866824).

The spelling of 42706100 in words is "forty-two million, seven hundred six thousand, one hundred".