105963645 has 32 divisors (see below), whose sum is σ = 178723584. Its totient is φ = 53504000.

The previous prime is 105963631. The next prime is 105963647. The reversal of 105963645 is 546369501.

It is not a de Polignac number, because 105963645 - 2⁶ = 105963581 is a prime.

It is a super-2 number, since 2×105963645² = 22456588123372050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105963647) 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 31 ways as a sum of consecutive naturals, for example, 33325 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (5585112).

Almost surely, 2^105963645 is an apocalyptic number.

105963645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105963645 is a deficient number, since it is larger than the sum of its proper divisors (72759939).

105963645 is a wasteful number, since it uses less digits than its factorization.

105963645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 105963645 is about 10293.8644347009. The cubic root of 105963645 is about 473.2082377325.

It can be divided in two parts, 10596 and 3645, that added together give a palindrome (14241).

The spelling of 105963645 in words is "one hundred five million, nine hundred sixty-three thousand, six hundred forty-five".