105374859 has 16 divisors (see below), whose sum is σ = 145711104. Its totient is φ = 67665600.

The previous prime is 105374839. The next prime is 105374887. The reversal of 105374859 is 958473501.

It is not a de Polignac number, because 105374859 - 2²³ = 96986251 is a prime.

It is a super-3 number, since 3×105374859³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105374859.

It is not an unprimeable number, because it can be changed into a prime (105374809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18199 + ... + 23279.

It is an arithmetic number, because the mean of its divisors is an integer number (9106944).

Almost surely, 2^105374859 is an apocalyptic number.

105374859 is a deficient number, since it is larger than the sum of its proper divisors (40336245).

105374859 is a wasteful number, since it uses less digits than its factorization.

105374859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 105374859 is about 10265.2257159792. The cubic root of 105374859 is about 472.3301503117.

The spelling of 105374859 in words is "one hundred five million, three hundred seventy-four thousand, eight hundred fifty-nine".