105331365 has 12 divisors (see below), whose sum is σ = 182574444. Its totient is φ = 56176704.

The previous prime is 105331361. The next prime is 105331379. The reversal of 105331365 is 563133501.

It can be written as a sum of positive squares in 2 ways, for example, as 34468641 + 70862724 = 5871^2 + 8418^2 .

It is not a de Polignac number, because 105331365 - 2² = 105331361 is a prime.

It is a super-2 number, since 2×105331365² = 22189392905526450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170304 + ... + 1170393.

It is an arithmetic number, because the mean of its divisors is an integer number (15214537).

Almost surely, 2^105331365 is an apocalyptic number.

105331365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105331365 is a deficient number, since it is larger than the sum of its proper divisors (77243079).

105331365 is a wasteful number, since it uses less digits than its factorization.

105331365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340708 (or 2340705 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 105331365 is about 10263.1069857037. The cubic root of 105331365 is about 472.2651558247.

Adding to 105331365 its reverse (563133501), we get a palindrome (668464866).

The spelling of 105331365 in words is "one hundred five million, three hundred thirty-one thousand, three hundred sixty-five".