105752303 has 8 divisors (see below), whose sum is σ = 108734400. Its totient is φ = 102800800.

The previous prime is 105752287. The next prime is 105752329. The reversal of 105752303 is 303257501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105752303 - 2⁴ = 105752287 is a prime.

It is a super-2 number, since 2×105752303² = 22367099179607618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105752333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 548 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (13591800).

Almost surely, 2^105752303 is an apocalyptic number.

105752303 is a deficient number, since it is larger than the sum of its proper divisors (2982097).

105752303 is a wasteful number, since it uses less digits than its factorization.

105752303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15297.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 105752303 is about 10283.5938756837. The cubic root of 105752303 is about 472.8934274422.

It can be divided in two parts, 10575 and 2303, that multiplied together give a square (24354225 = 4935²).

The spelling of 105752303 in words is "one hundred five million, seven hundred fifty-two thousand, three hundred three".