105346989 has 24 divisors (see below), whose sum is σ = 166750272. Its totient is φ = 63558720.

The previous prime is 105346973. The next prime is 105346993. The reversal of 105346989 is 989643501.

It is a happy number.

105346989 is a `hidden beast` number, since 105 + 3 + 469 + 89 = 666.

It is not a de Polignac number, because 105346989 - 2⁴ = 105346973 is a prime.

It is a super-2 number, since 2×105346989² = 22195976182732242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105348989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20784 + ... + 25350.

It is an arithmetic number, because the mean of its divisors is an integer number (6947928).

Almost surely, 2^105346989 is an apocalyptic number.

It is an amenable number.

105346989 is a deficient number, since it is larger than the sum of its proper divisors (61403283).

105346989 is a wasteful number, since it uses less digits than its factorization.

105346989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 105346989 is about 10263.8681304857. The cubic root of 105346989 is about 472.2885053307.

The spelling of 105346989 in words is "one hundred five million, three hundred forty-six thousand, nine hundred eighty-nine".