21010600 has 48 divisors (see below), whose sum is σ = 52613820. Its totient is φ = 7756800.

The previous prime is 21010579. The next prime is 21010601. The reversal of 21010600 is 601012.

It can be written as a sum of positive squares in 6 ways, for example, as 2709316 + 18301284 = 1646^2 + 4278^2 .

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 (21010601) 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, 1441 + ... + 6640.

Almost surely, 2^21010600 is an apocalyptic number.

21010600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010600 is an abundant number, since it is smaller than the sum of its proper divisors (31603220).

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

21010600 is a wasteful number, since it uses less digits than its factorization.

21010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 21010600 is about 4583.7321038647. The cubic root of 21010600 is about 275.9388298240.

Adding to 21010600 its reverse (601012), we get a palindrome (21611612).

The spelling of 21010600 in words is "twenty-one million, ten thousand, six hundred".