10705716160 has 112 divisors (see below), whose sum is σ = 27321028416. Its totient is φ = 3985293312.

The previous prime is 10705716139. The next prime is 10705716167. The reversal of 10705716160 is 6161750701.

It is a super-2 number, since 2×10705716160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705716167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252664 + ... + 291976.

Almost surely, 2^10705716160 is an apocalyptic number.

10705716160 is a gapful number since it is divisible by the number (10) 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 10705716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660514208).

10705716160 is an abundant number, since it is smaller than the sum of its proper divisors (16615312256).

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

10705716160 is a wasteful number, since it uses less digits than its factorization.

10705716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39390 (or 39380 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 10705716160 in words is "ten billion, seven hundred five million, seven hundred sixteen thousand, one hundred sixty".