20381100 has 72 divisors (see below), whose sum is σ = 60444048. Its totient is φ = 5299200.

The previous prime is 20381083. The next prime is 20381107. The reversal of 20381100 is 118302.

It is a happy number.

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 20381100.

It is not an unprimeable number, because it can be changed into a prime (20381107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11472 + ... + 13128.

Almost surely, 2^20381100 is an apocalyptic number.

20381100 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 20381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30222024).

20381100 is an abundant number, since it is smaller than the sum of its proper divisors (40062948).

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

20381100 is a wasteful number, since it uses less digits than its factorization.

20381100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 20381100 is about 4514.5431662572. The cubic root of 20381100 is about 273.1550327679.

Adding to 20381100 its reverse (118302), we get a palindrome (20499402).

The spelling of 20381100 in words is "twenty million, three hundred eighty-one thousand, one hundred".