10900224 has 144 divisors (see below), whose sum is σ = 34339200. Its totient is φ = 3400704.

The previous prime is 10900217. The next prime is 10900231. The reversal of 10900224 is 42200901.

It is an interprime number because it is at equal distance from previous prime (10900217) and next prime (10900231).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10900197 and 10900206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131287 + ... + 131369.

Almost surely, 2^10900224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

10900224 is an abundant number, since it is smaller than the sum of its proper divisors (23438976).

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

10900224 is an equidigital number, since it uses as much as digits as its factorization.

10900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10900224 is about 3301.5487274914. The cubic root of 10900224 is about 221.7235419160.

It can be divided in two parts, 1090022 and 4, that added together give a triangular number (1090026 = T₁₄₇₆).

The spelling of 10900224 in words is "ten million, nine hundred thousand, two hundred twenty-four".