105306070 has 32 divisors (see below), whose sum is σ = 200975616. Its totient is φ = 39657600.

The previous prime is 105306059. The next prime is 105306073. The reversal of 105306070 is 70603501.

It is a super-3 number, since 3×105306070³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105306073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6880 + ... + 16060.

It is an arithmetic number, because the mean of its divisors is an integer number (6280488).

Almost surely, 2^105306070 is an apocalyptic number.

105306070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105306070 is a deficient number, since it is larger than the sum of its proper divisors (95669546).

105306070 is a wasteful number, since it uses less digits than its factorization.

105306070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 105306070 is about 10261.8745850843. The cubic root of 105306070 is about 472.2273484616.

Adding to 105306070 its reverse (70603501), we get a palindrome (175909571).

The spelling of 105306070 in words is "one hundred five million, three hundred six thousand, seventy".