20006100 has 54 divisors (see below), whose sum is σ = 62710830. Its totient is φ = 5334720.

The previous prime is 20006087. The next prime is 20006101. The reversal of 20006100 is 160002.

It can be written as a sum of positive squares in 3 ways, for example, as 345744 + 19660356 = 588^2 + 4434^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10215 + ... + 12014.

Almost surely, 2^20006100 is an apocalyptic number.

20006100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20006100 is an abundant number, since it is smaller than the sum of its proper divisors (42704730).

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

20006100 is a wasteful number, since it uses less digits than its factorization.

20006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22249 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20006100 is about 4472.8179037381. The cubic root of 20006100 is about 271.4693554334.

Adding to 20006100 its reverse (160002), we get a palindrome (20166102).

It can be divided in two parts, 2000 and 6100, that added together give a square (8100 = 90²).

The spelling of 20006100 in words is "twenty million, six thousand, one hundred".