20741100 has 72 divisors (see below), whose sum is σ = 61329408. Its totient is φ = 5409600.

The previous prime is 20741069. The next prime is 20741107. The reversal of 20741100 is 114702.

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 20741100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20741107) 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, 13365 + ... + 14835.

Almost surely, 2^20741100 is an apocalyptic number.

20741100 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 20741100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30664704).

20741100 is an abundant number, since it is smaller than the sum of its proper divisors (40588308).

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

20741100 is a wasteful number, since it uses less digits than its factorization.

20741100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 20741100 is about 4554.2397828836. The cubic root of 20741100 is about 274.7539396792.

Adding to 20741100 its reverse (114702), we get a palindrome (20855802).

The spelling of 20741100 in words is "twenty million, seven hundred forty-one thousand, one hundred".