20412100 has 72 divisors (see below), whose sum is σ = 46747008. Its totient is φ = 7728000.

The previous prime is 20412089. The next prime is 20412101. The reversal of 20412100 is 121402.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20412101) 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, 202050 + ... + 202150.

It is an arithmetic number, because the mean of its divisors is an integer number (649264).

Almost surely, 2^20412100 is an apocalyptic number.

20412100 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 20412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373504).

20412100 is an abundant number, since it is smaller than the sum of its proper divisors (26334908).

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

20412100 is a wasteful number, since it uses less digits than its factorization.

20412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20412100 is about 4517.9752102020. The cubic root of 20412100 is about 273.2934537628.

20412100 divided by its sum of digits (10) gives a triangular number (2041210 = T₂₀₂₀).

Adding to 20412100 its reverse (121402), we get a palindrome (20533502).

The spelling of 20412100 in words is "twenty million, four hundred twelve thousand, one hundred".