105353864 has 32 divisors (see below), whose sum is σ = 246283200. Its totient is φ = 41046720.

The previous prime is 105353849. The next prime is 105353867. The reversal of 105353864 is 468353501.

It is a super-2 number, since 2×105353864² = 22198873319460992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105353867) 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 7 ways as a sum of consecutive naturals, for example, 84899 + ... + 86130.

It is an arithmetic number, because the mean of its divisors is an integer number (7696350).

Almost surely, 2^105353864 is an apocalyptic number.

105353864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105353864 is an abundant number, since it is smaller than the sum of its proper divisors (140929336).

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

105353864 is a wasteful number, since it uses less digits than its factorization.

105353864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171053 (or 171049 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 105353864 is about 10264.2030377424. The cubic root of 105353864 is about 472.2987790394.

The spelling of 105353864 in words is "one hundred five million, three hundred fifty-three thousand, eight hundred sixty-four".