105308064 has 144 divisors (see below), whose sum is σ = 321434568. Its totient is φ = 32587776.

The previous prime is 105308057. The next prime is 105308069. The reversal of 105308064 is 460803501.

It can be written as a sum of positive squares in 4 ways, for example, as 95648400 + 9659664 = 9780^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105308064² = 22179576686856192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105308069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670674 + ... + 670830.

Almost surely, 2^105308064 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 105308064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160717284).

105308064 is an abundant number, since it is smaller than the sum of its proper divisors (216126504).

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

105308064 is a wasteful number, since it uses less digits than its factorization.

105308064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105308064 is about 10261.9717403626. The cubic root of 105308064 is about 472.2303290286.

The spelling of 105308064 in words is "one hundred five million, three hundred eight thousand, sixty-four".