105273363 has 16 divisors (see below), whose sum is σ = 154850976. Its totient is φ = 63202560.

The previous prime is 105273359. The next prime is 105273391. The reversal of 105273363 is 363372501.

It is not a de Polignac number, because 105273363 - 2² = 105273359 is a prime.

It is a super-2 number, since 2×105273363² = 22164961914659538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105273363.

It is not an unprimeable number, because it can be changed into a prime (105273263) 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, 31320 + ... + 34517.

It is an arithmetic number, because the mean of its divisors is an integer number (9678186).

Almost surely, 2^105273363 is an apocalyptic number.

105273363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105273363 is a deficient number, since it is larger than the sum of its proper divisors (49577613).

105273363 is a wasteful number, since it uses less digits than its factorization.

105273363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65894.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 105273363 is about 10260.2808441095. The cubic root of 105273363 is about 472.1784537201.

The spelling of 105273363 in words is "one hundred five million, two hundred seventy-three thousand, three hundred sixty-three".