42173100 has 108 divisors (see below), whose sum is σ = 135137184. Its totient is φ = 10995840.

The previous prime is 42173093. The next prime is 42173101. The reversal of 42173100 is 137124.

It is a super-2 number, since 2×42173100² = 3557140727220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42173101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41802 + ... + 42798.

Almost surely, 2^42173100 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 42173100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568592).

42173100 is an abundant number, since it is smaller than the sum of its proper divisors (92964084).

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

42173100 is a wasteful number, since it uses less digits than its factorization.

42173100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 42173100 is about 6494.0819212572. The cubic root of 42173100 is about 348.0795497889.

The spelling of 42173100 in words is "forty-two million, one hundred seventy-three thousand, one hundred".