4282100 has 18 divisors (see below), whose sum is σ = 9292374. Its totient is φ = 1712800.

The previous prime is 4282093. The next prime is 4282129. The reversal of 4282100 is 12824.

It can be written as a sum of positive squares in 3 ways, for example, as 5476 + 4276624 = 74^2 + 2068^2 .

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 5 ways as a sum of consecutive naturals, for example, 21311 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (516243).

Almost surely, 2^4282100 is an apocalyptic number.

It is an amenable number.

4282100 is an abundant number, since it is smaller than the sum of its proper divisors (5010274).

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

4282100 is a wasteful number, since it uses less digits than its factorization.

4282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42835 (or 42828 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4282100 is about 2069.3235609735. The cubic root of 4282100 is about 162.3873775851.

Adding to 4282100 its reverse (12824), we get a palindrome (4294924).

The spelling of 4282100 in words is "four million, two hundred eighty-two thousand, one hundred".