105353104 has 40 divisors (see below), whose sum is σ = 207764480. Its totient is φ = 51746688.

The previous prime is 105353099. The next prime is 105353107. The reversal of 105353104 is 401353501.

It is a happy number.

It is a super-2 number, since 2×105353104² = 22198553044869632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105353107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282262 + ... + 282634.

It is an arithmetic number, because the mean of its divisors is an integer number (5194112).

Almost surely, 2^105353104 is an apocalyptic number.

It is an amenable number.

105353104 is a deficient number, since it is larger than the sum of its proper divisors (102411376).

105353104 is a wasteful number, since it uses less digits than its factorization.

105353104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105353104 is about 10264.1660158047. The cubic root of 105353104 is about 472.2976433496.

The spelling of 105353104 in words is "one hundred five million, three hundred fifty-three thousand, one hundred four".