105507353 has 16 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 87264000.

The previous prime is 105507341. The next prime is 105507373. The reversal of 105507353 is 353705501.

It is a cyclic number.

It is not a de Polignac number, because 105507353 - 2⁶ = 105507289 is a prime.

It is a super-2 number, since 2×105507353² = 22263603074133218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105507373) 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 15 ways as a sum of consecutive naturals, for example, 130013 + ... + 130821.

It is an arithmetic number, because the mean of its divisors is an integer number (7801920).

Almost surely, 2^105507353 is an apocalyptic number.

It is an amenable number.

105507353 is a deficient number, since it is larger than the sum of its proper divisors (19323367).

105507353 is an equidigital number, since it uses as much as digits as its factorization.

105507353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448.

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 105507353 is about 10271.6772242901. The cubic root of 105507353 is about 472.5280302138.

The spelling of 105507353 in words is "one hundred five million, five hundred seven thousand, three hundred fifty-three".