21150600 has 48 divisors (see below), whose sum is σ = 65568720. Its totient is φ = 5640000.

The previous prime is 21150523. The next prime is 21150607. The reversal of 21150600 is 605112.

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 21150600.

It is not an unprimeable number, because it can be changed into a prime (21150607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17026 + ... + 18225.

It is an arithmetic number, because the mean of its divisors is an integer number (1366015).

Almost surely, 2^21150600 is an apocalyptic number.

21150600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21150600 is an abundant number, since it is smaller than the sum of its proper divisors (44418120).

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

21150600 is a wasteful number, since it uses less digits than its factorization.

21150600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35270 (or 35261 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 21150600 is about 4598.9781473714. The cubic root of 21150600 is about 276.5503615918.

Adding to 21150600 its reverse (605112), we get a palindrome (21755712).

The spelling of 21150600 in words is "twenty-one million, one hundred fifty thousand, six hundred".