21501900 has 108 divisors (see below), whose sum is σ = 77047152. Its totient is φ = 4913280.

The previous prime is 21501899. The next prime is 21501913. The reversal of 21501900 is 910512.

It is a super-2 number, since 2×21501900² = 924663407220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4594 + ... + 8006.

Almost surely, 2^21501900 is an apocalyptic number.

21501900 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 21501900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38523576).

21501900 is an abundant number, since it is smaller than the sum of its proper divisors (55545252).

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

21501900 is a wasteful number, since it uses less digits than its factorization.

21501900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 21501900 is about 4637.0141254907. The cubic root of 21501900 is about 278.0730791435.

The spelling of 21501900 in words is "twenty-one million, five hundred one thousand, nine hundred".