105081353 has 16 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 95515200.

The previous prime is 105081337. The next prime is 105081367. The reversal of 105081353 is 353180501.

It is a cyclic number.

It is not a de Polignac number, because 105081353 - 2⁴ = 105081337 is a prime.

It is a super-2 number, since 2×105081353² = 22084181496621218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105081313) 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 15 ways as a sum of consecutive naturals, for example, 390503 + ... + 390771.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^105081353 is an apocalyptic number.

105081353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105081353 is a deficient number, since it is larger than the sum of its proper divisors (9830647).

105081353 is a wasteful number, since it uses less digits than its factorization.

105081353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105081353 is about 10250.9196172831. The cubic root of 105081353 is about 471.8912073903.

The spelling of 105081353 in words is "one hundred five million, eighty-one thousand, three hundred fifty-three".