21775104 has 108 divisors (see below), whose sum is σ = 67705456. Its totient is φ = 6690816.

The previous prime is 21775099. The next prime is 21775123. The reversal of 21775104 is 40157712.

It is a super-3 number, since 3×21775104³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29589 + ... + 30315.

Almost surely, 2^21775104 is an apocalyptic number.

21775104 is a gapful number since it is divisible by the number (24) 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 21775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852728).

21775104 is an abundant number, since it is smaller than the sum of its proper divisors (45930352).

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

21775104 is a wasteful number, since it uses less digits than its factorization.

21775104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 21775104 is about 4666.3801816826. The cubic root of 21775104 is about 279.2458618215.

The spelling of 21775104 in words is "twenty-one million, seven hundred seventy-five thousand, one hundred four".