20345100 has 72 divisors (see below), whose sum is σ = 59735760. Its totient is φ = 5345280.

The previous prime is 20345093. The next prime is 20345161. The reversal of 20345100 is 154302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20345100.

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, 21436 + ... + 22364.

Almost surely, 2^20345100 is an apocalyptic number.

20345100 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 20345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29867880).

20345100 is an abundant number, since it is smaller than the sum of its proper divisors (39390660).

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

20345100 is a wasteful number, since it uses less digits than its factorization.

20345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20345100 is about 4510.5542896633. The cubic root of 20345100 is about 272.9941095483.

Adding to 20345100 its reverse (154302), we get a palindrome (20499402).

The spelling of 20345100 in words is "twenty million, three hundred forty-five thousand, one hundred".