10111672224 has 144 divisors (see below), whose sum is σ = 29513484000. Its totient is φ = 3282144768.

The previous prime is 10111672223. The next prime is 10111672279. The reversal of 10111672224 is 42227611101.

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

It is a super-2 number, since 2×10111672224² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111672223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4816327 + ... + 4818425.

It is an arithmetic number, because the mean of its divisors is an integer number (204954750).

Almost surely, 2^10111672224 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 10111672224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756742000).

10111672224 is an abundant number, since it is smaller than the sum of its proper divisors (19401811776).

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

10111672224 is a wasteful number, since it uses less digits than its factorization.

10111672224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10111672224 in words is "ten billion, one hundred eleven million, six hundred seventy-two thousand, two hundred twenty-four".