20502100 has 36 divisors (see below), whose sum is σ = 45232348. Its totient is φ = 8064000.

The previous prime is 20502071. The next prime is 20502109. The reversal of 20502100 is 120502.

It can be written as a sum of positive squares in 6 ways, for example, as 1943236 + 18558864 = 1394^2 + 4308^2 .

It is a super-2 number, since 2×20502100² = 840672208820000, which contains 22 as substring.

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 (20502109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4420 + ... + 7780.

Almost surely, 2^20502100 is an apocalyptic number.

20502100 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 20502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22616174).

20502100 is an abundant number, since it is smaller than the sum of its proper divisors (24730248).

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

20502100 is a wasteful number, since it uses less digits than its factorization.

20502100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 20502100 is about 4527.9244693347. The cubic root of 20502100 is about 273.6945287686.

Adding to 20502100 its reverse (120502), we get a palindrome (20622602).

It can be divided in two parts, 20502 and 100, that added together give a palindrome (20602).

The spelling of 20502100 in words is "twenty million, five hundred two thousand, one hundred".