42175100 has 72 divisors (see below), whose sum is σ = 104243328. Its totient is φ = 14660800.

The previous prime is 42175099. The next prime is 42175127. The reversal of 42175100 is 157124.

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 23 ways as a sum of consecutive naturals, for example, 24467 + ... + 26133.

It is an arithmetic number, because the mean of its divisors is an integer number (1447824).

Almost surely, 2^42175100 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 42175100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52121664).

42175100 is an abundant number, since it is smaller than the sum of its proper divisors (62068228).

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

42175100 is a wasteful number, since it uses less digits than its factorization.

42175100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 42175100 is about 6494.2359057860. The cubic root of 42175100 is about 348.0850520964.

The spelling of 42175100 in words is "forty-two million, one hundred seventy-five thousand, one hundred".