101305224 has 24 divisors (see below), whose sum is σ = 274368510. Its totient is φ = 33768384.

The previous prime is 101305199. The next prime is 101305289. The reversal of 101305224 is 422503101.

101305224 is a `hidden beast` number, since 10 + 130 + 522 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81324324 + 19980900 = 9018^2 + 4470^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 101305197 and 101305206.

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 5 ways as a sum of consecutive naturals, for example, 703437 + ... + 703580.

Almost surely, 2^101305224 is an apocalyptic number.

It is an amenable number.

101305224 is an abundant number, since it is smaller than the sum of its proper divisors (173063286).

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

101305224 is a wasteful number, since it uses less digits than its factorization.

101305224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407029 (or 1407022 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101305224 is about 10065.0496272994. The cubic root of 101305224 is about 466.1695981747.

Adding to 101305224 its reverse (422503101), we get a palindrome (523808325).

The spelling of 101305224 in words is "one hundred one million, three hundred five thousand, two hundred twenty-four".