10705358352 has 160 divisors (see below), whose sum is σ = 30954268800. Its totient is φ = 3165474816.

The previous prime is 10705358327. The next prime is 10705358357. The reversal of 10705358352 is 25385350701.

It is a super-2 number, since 2×10705358352² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10705358352.

It is not an unprimeable number, because it can be changed into a prime (10705358357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4215099 + ... + 4217637.

It is an arithmetic number, because the mean of its divisors is an integer number (193464180).

Almost surely, 2^10705358352 is an apocalyptic number.

10705358352 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 10705358352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477134400).

10705358352 is an abundant number, since it is smaller than the sum of its proper divisors (20248910448).

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

10705358352 is a wasteful number, since it uses less digits than its factorization.

10705358352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 10705358352 in words is "ten billion, seven hundred five million, three hundred fifty-eight thousand, three hundred fifty-two".