105616643 has 8 divisors (see below), whose sum is σ = 117898176. Its totient is φ = 93781800.

The previous prime is 105616639. The next prime is 105616703. The reversal of 105616643 is 346616501.

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 105616643 - 2² = 105616639 is a prime.

It is a super-2 number, since 2×105616643² = 22309750557178898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105616603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111173 + ... + 112118.

It is an arithmetic number, because the mean of its divisors is an integer number (14737272).

Almost surely, 2^105616643 is an apocalyptic number.

105616643 is a deficient number, since it is larger than the sum of its proper divisors (12281533).

105616643 is a wasteful number, since it uses less digits than its factorization.

105616643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223345.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 105616643 is about 10276.9958158987. The cubic root of 105616643 is about 472.6911302754.

The spelling of 105616643 in words is "one hundred five million, six hundred sixteen thousand, six hundred forty-three".