105459123 has 50 divisors (see below), whose sum is σ = 180440420. Its totient is φ = 54783960.

The previous prime is 105459121. The next prime is 105459157. The reversal of 105459123 is 321954501.

It is not a de Polignac number, because 105459123 - 2¹ = 105459121 is a prime.

It is a super-2 number, since 2×105459123² = 22243253247858258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105459121) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 9587188 + ... + 9587198.

Almost surely, 2^105459123 is an apocalyptic number.

105459123 is a deficient number, since it is larger than the sum of its proper divisors (74981297).

105459123 is an frugal number, since it uses more digits than its factorization.

105459123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105459123 is about 10269.3292380759. The cubic root of 105459123 is about 472.4560178540.

The spelling of 105459123 in words is "one hundred five million, four hundred fifty-nine thousand, one hundred twenty-three".