42142100 has 144 divisors (see below), whose sum is σ = 123075456. Its totient is φ = 12096000.

The previous prime is 42142091. The next prime is 42142151. The reversal of 42142100 is 124124.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99890 + ... + 100310.

Almost surely, 2^42142100 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 42142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61537728).

42142100 is an abundant number, since it is smaller than the sum of its proper divisors (80933356).

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

42142100 is a wasteful number, since it uses less digits than its factorization.

42142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42142100 is about 6491.6946939917. The cubic root of 42142100 is about 347.9942417685.

Adding to 42142100 its reverse (124124), we get a palindrome (42266224).

It can be divided in two parts, 421 and 42100, that multiplied together give a square (17724100 = 4210²).

The spelling of 42142100 in words is "forty-two million, one hundred forty-two thousand, one hundred".