105052361 has 8 divisors (see below), whose sum is σ = 108611904. Its totient is φ = 101530800.

The previous prime is 105052331. The next prime is 105052393. The reversal of 105052361 is 163250501.

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 105052361 - 2²² = 100858057 is a prime.

It is a super-2 number, since 2×105052361² = 22071997103348642, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105052331) 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 7 ways as a sum of consecutive naturals, for example, 3815 + ... + 14988.

It is an arithmetic number, because the mean of its divisors is an integer number (13576488).

Almost surely, 2^105052361 is an apocalyptic number.

It is an amenable number.

105052361 is a deficient number, since it is larger than the sum of its proper divisors (3559543).

105052361 is a wasteful number, since it uses less digits than its factorization.

105052361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18991.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105052361 is about 10249.5054027011. The cubic root of 105052361 is about 471.8478050553.

The spelling of 105052361 in words is "one hundred five million, fifty-two thousand, three hundred sixty-one".