42256100 has 72 divisors (see below), whose sum is σ = 97160448. Its totient is φ = 15926400.

The previous prime is 42256061. The next prime is 42256111. The reversal of 42256100 is 165224.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 133142 + ... + 133458.

Almost surely, 2^42256100 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 42256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48580224).

42256100 is an abundant number, since it is smaller than the sum of its proper divisors (54904348).

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

42256100 is a wasteful number, since it uses less digits than its factorization.

42256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42256100 is about 6500.4692138337. The cubic root of 42256100 is about 348.3077495207.

The spelling of 42256100 in words is "forty-two million, two hundred fifty-six thousand, one hundred".