42250100 has 72 divisors (see below), whose sum is σ = 100540440. Its totient is φ = 15339520.

The previous prime is 42250097. The next prime is 42250147. The reversal of 42250100 is 105224.

42250100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 595984 + 41654116 = 772^2 + 6454^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48872 + ... + 49728.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^42250100 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 42250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270220).

42250100 is an abundant number, since it is smaller than the sum of its proper divisors (58290340).

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

42250100 is a wasteful number, since it uses less digits than its factorization.

42250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42250100 is about 6500.0076923031. The cubic root of 42250100 is about 348.2912631797.

Adding to 42250100 its reverse (105224), we get a palindrome (42355324).

The spelling of 42250100 in words is "forty-two million, two hundred fifty thousand, one hundred".