20330100 has 162 divisors, whose sum is σ = 74288214. Its totient is φ = 4636800.

The previous prime is 20330083. The next prime is 20330117. The reversal of 20330100 is 103302.

20330100 = T₃₅ + T₃₆ + ... + T₄₉₅.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20330083) and next prime (20330117).

It can be written as a sum of positive squares in 3 ways, for example, as 509796 + 19820304 = 714^2 + 4452^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43870 + ... + 44330.

Almost surely, 2^20330100 is an apocalyptic number.

20330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37144107).

20330100 is an abundant number, since it is smaller than the sum of its proper divisors (53958114).

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

20330100 is a wasteful number, since it uses less digits than its factorization.

20330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20330100 is about 4508.8912162526. The cubic root of 20330100 is about 272.9270021790.

Adding to 20330100 its reverse (103302), we get a palindrome (20433402).

It can be divided in two parts, 203 and 30100, that added together give a palindrome (30303).

The spelling of 20330100 in words is "twenty million, three hundred thirty thousand, one hundred".