10930134072 has 128 divisors (see below), whose sum is σ = 32542997760. Its totient is φ = 3015429120.

The previous prime is 10930134053. The next prime is 10930134077. The reversal of 10930134072 is 27043103901.

10930134072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930134077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228723 + ... + 272349.

It is an arithmetic number, because the mean of its divisors is an integer number (254242170).

Almost surely, 2^10930134072 is an apocalyptic number.

10930134072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10930134072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271498880).

10930134072 is an abundant number, since it is smaller than the sum of its proper divisors (21612863688).

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

10930134072 is a wasteful number, since it uses less digits than its factorization.

10930134072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43733 (or 43729 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

Adding to 10930134072 its reverse (27043103901), we get a palindrome (37973237973).

The spelling of 10930134072 in words is "ten billion, nine hundred thirty million, one hundred thirty-four thousand, seventy-two".