20034100 has 18 divisors (see below), whose sum is σ = 43474214. Its totient is φ = 8013600.

The previous prime is 20034073. The next prime is 20034103. The reversal of 20034100 is 143002.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 20016676 = 132^2 + 4474^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034103) by changing a digit.

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, 100071 + ... + 100270.

Almost surely, 2^20034100 is an apocalyptic number.

20034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034100 is an abundant number, since it is smaller than the sum of its proper divisors (23440114).

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

20034100 is a wasteful number, since it uses less digits than its factorization.

20034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200355 (or 200348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20034100 is about 4475.9468272087. The cubic root of 20034100 is about 271.5959434672.

Adding to 20034100 its reverse (143002), we get a palindrome (20177102).

The spelling of 20034100 in words is "twenty million, thirty-four thousand, one hundred".