10706459232 has 288 divisors, whose sum is σ = 34295716224. Its totient is φ = 2912716800.

The previous prime is 10706459227. The next prime is 10706459299. The reversal of 10706459232 is 23295460701.

10706459232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10706459232² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8292507 + ... + 8293797.

It is an arithmetic number, because the mean of its divisors is an integer number (119082348).

Almost surely, 2^10706459232 is an apocalyptic number.

10706459232 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 10706459232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147858112).

10706459232 is an abundant number, since it is smaller than the sum of its proper divisors (23589256992).

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

10706459232 is a wasteful number, since it uses less digits than its factorization.

10706459232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10706459232 in words is "ten billion, seven hundred six million, four hundred fifty-nine thousand, two hundred thirty-two".