10705715670 has 96 divisors (see below), whose sum is σ = 28027091232. Its totient is φ = 2615847936.

The previous prime is 10705715641. The next prime is 10705715689. The reversal of 10705715670 is 7651750701.

10705715670 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 2×10705715670² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 686884 + ... + 702296.

It is an arithmetic number, because the mean of its divisors is an integer number (291948867).

Almost surely, 2^10705715670 is an apocalyptic number.

10705715670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10705715670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013545616).

10705715670 is an abundant number, since it is smaller than the sum of its proper divisors (17321375562).

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

10705715670 is a wasteful number, since it uses less digits than its factorization.

10705715670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15573 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 39.

The spelling of 10705715670 in words is "ten billion, seven hundred five million, seven hundred fifteen thousand, six hundred seventy".