106002718224 has 160 divisors (see below), whose sum is σ = 297397632000. Its totient is φ = 32341731840.

The previous prime is 106002718177. The next prime is 106002718243. The reversal of 106002718224 is 422817200601.

It is a super-2 number, since 2×106002718224² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41100967 + ... + 41103545.

It is an arithmetic number, because the mean of its divisors is an integer number (1858735200).

Almost surely, 2^106002718224 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 106002718224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148698816000).

106002718224 is an abundant number, since it is smaller than the sum of its proper divisors (191394913776).

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

106002718224 is a wasteful number, since it uses less digits than its factorization.

106002718224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 106002718224 its reverse (422817200601), we get a palindrome (528819918825).

The spelling of 106002718224 in words is "one hundred six billion, two million, seven hundred eighteen thousand, two hundred twenty-four".