705378105 has 32 divisors (see below), whose sum is σ = 1256697600. Its totient is φ = 375394176.

The previous prime is 705378071. The next prime is 705378109. The reversal of 705378105 is 501873507.

705378105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 705378105 - 2²² = 701183801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 705378105.

It is not an unprimeable number, because it can be changed into a prime (705378109) 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, 60381 + ... + 71109.

It is an arithmetic number, because the mean of its divisors is an integer number (39271800).

Almost surely, 2^705378105 is an apocalyptic number.

It is an amenable number.

705378105 is a deficient number, since it is larger than the sum of its proper divisors (551319495).

705378105 is a wasteful number, since it uses less digits than its factorization.

705378105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 705378105 is about 26558.9552693625. The cubic root of 705378105 is about 890.1721272098.

It can be divided in two parts, 7053 and 78105, that added together give a palindrome (85158).

The spelling of 705378105 in words is "seven hundred five million, three hundred seventy-eight thousand, one hundred five".