21772100 has 72 divisors (see below), whose sum is σ = 56871360. Its totient is φ = 7067520.

The previous prime is 21772097. The next prime is 21772103. The reversal of 21772100 is 127712.

It is an interprime number because it is at equal distance from previous prime (21772097) and next prime (21772103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21772103) 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 23 ways as a sum of consecutive naturals, for example, 12482 + ... + 14118.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^21772100 is an apocalyptic number.

21772100 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 21772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

21772100 is an abundant number, since it is smaller than the sum of its proper divisors (35099260).

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

21772100 is a wasteful number, since it uses less digits than its factorization.

21772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 21772100 is about 4666.0582936779. The cubic root of 21772100 is about 279.2330200436.

Adding to 21772100 its reverse (127712), we get a palindrome (21899812).

The spelling of 21772100 in words is "twenty-one million, seven hundred seventy-two thousand, one hundred".