42108500 has 96 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 14102400.

The previous prime is 42108491. The next prime is 42108511. The reversal of 42108500 is 580124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185387 + ... + 185613.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^42108500 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 42108500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

42108500 is an abundant number, since it is smaller than the sum of its proper divisors (65449132).

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

42108500 is a wasteful number, since it uses less digits than its factorization.

42108500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 42108500 is about 6489.1062558722. The cubic root of 42108500 is about 347.9017316229.

Adding to 42108500 its reverse (580124), we get a palindrome (42688624).

The spelling of 42108500 in words is "forty-two million, one hundred eight thousand, five hundred".