10705068 has 48 divisors (see below), whose sum is σ = 30280320. Its totient is φ = 3243600.

The previous prime is 10705061. The next prime is 10705069. The reversal of 10705068 is 86050701.

It is a super-2 number, since 2×10705068² = 229196961769248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10705061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3318 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (630840).

Almost surely, 2^10705068 is an apocalyptic number.

10705068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10705068 is an abundant number, since it is smaller than the sum of its proper divisors (19575252).

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

10705068 is a wasteful number, since it uses less digits than its factorization.

10705068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10705068 is about 3271.8600214557. The cubic root of 10705068 is about 220.3923302371.

Adding to 10705068 its reverse (86050701), we get a palindrome (96755769).

It can be divided in two parts, 10 and 705068, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 10705068 in words is "ten million, seven hundred five thousand, sixty-eight".