10705344 has 56 divisors (see below), whose sum is σ = 30510480. Its totient is φ = 3293184.

The previous prime is 10705339. The next prime is 10705361. The reversal of 10705344 is 44350701.

It is a super-2 number, since 2×10705344² = 229208780316672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 4640.

It is an arithmetic number, because the mean of its divisors is an integer number (544830).

Almost surely, 2^10705344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255240).

10705344 is an abundant number, since it is smaller than the sum of its proper divisors (19805136).

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

10705344 is a wasteful number, since it uses less digits than its factorization.

10705344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10705344 is about 3271.9021990273. The cubic root of 10705344 is about 220.3942242858.

The spelling of 10705344 in words is "ten million, seven hundred five thousand, three hundred forty-four".