10700100224 has 64 divisors (see below), whose sum is σ = 23273870400. Its totient is φ = 4859627520.

The previous prime is 10700100223. The next prime is 10700100247. The reversal of 10700100224 is 42200100701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10700100224² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10700100221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260292 + ... + 2265020.

It is an arithmetic number, because the mean of its divisors is an integer number (363654225).

Almost surely, 2^10700100224 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 10700100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636935200).

10700100224 is an abundant number, since it is smaller than the sum of its proper divisors (12573770176).

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

10700100224 is a wasteful number, since it uses less digits than its factorization.

10700100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

Adding to 10700100224 its reverse (42200100701), we get a palindrome (52900200925).

The spelling of 10700100224 in words is "ten billion, seven hundred million, one hundred thousand, two hundred twenty-four".