105739361 has 16 divisors (see below), whose sum is σ = 130725504. Its totient is φ = 83286144.

The previous prime is 105739321. The next prime is 105739373. The reversal of 105739361 is 163937501.

It is a cyclic number.

It is not a de Polignac number, because 105739361 - 2¹⁴ = 105722977 is a prime.

It is a super-2 number, since 2×105739361² = 22361624929376642, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105739301) 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 15 ways as a sum of consecutive naturals, for example, 18710 + ... + 23696.

It is an arithmetic number, because the mean of its divisors is an integer number (8170344).

Almost surely, 2^105739361 is an apocalyptic number.

It is an amenable number.

105739361 is a deficient number, since it is larger than the sum of its proper divisors (24986143).

105739361 is a wasteful number, since it uses less digits than its factorization.

105739361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 105739361 is about 10282.9646017090. The cubic root of 105739361 is about 472.8741357065.

The spelling of 105739361 in words is "one hundred five million, seven hundred thirty-nine thousand, three hundred sixty-one".