42134100 has 108 divisors (see below), whose sum is σ = 127012704. Its totient is φ = 10783360.

The previous prime is 42134093. The next prime is 42134117. The reversal of 42134100 is 143124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42134100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252217 + ... + 252383.

Almost surely, 2^42134100 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 42134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63506352).

42134100 is an abundant number, since it is smaller than the sum of its proper divisors (84878604).

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

42134100 is a wasteful number, since it uses less digits than its factorization.

42134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42134100 is about 6491.0784928238. The cubic root of 42134100 is about 347.9722200047.

Adding to 42134100 its reverse (143124), we get a palindrome (42277224).

The spelling of 42134100 in words is "forty-two million, one hundred thirty-four thousand, one hundred".