10100728224 has 72 divisors (see below), whose sum is σ = 28748325060. Its totient is φ = 3364051968.

The previous prime is 10100728207. The next prime is 10100728229. The reversal of 10100728224 is 42282700101.

It can be written as a sum of positive squares in 2 ways, for example, as 9946471824 + 154256400 = 99732^2 + 12420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10100728224² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100728229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339684 + ... + 368220.

Almost surely, 2^10100728224 is an apocalyptic number.

It is an amenable number.

10100728224 is an abundant number, since it is smaller than the sum of its proper divisors (18647596836).

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

10100728224 is a wasteful number, since it uses less digits than its factorization.

10100728224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29782 (or 29771 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10100728224 in words is "ten billion, one hundred million, seven hundred twenty-eight thousand, two hundred twenty-four".