105054 has 8 divisors (see below), whose sum is σ = 210120. Its totient is φ = 35016.

The previous prime is 105037. The next prime is 105071. The reversal of 105054 is 450501.

It is an interprime number because it is at equal distance from previous prime (105037) and next prime (105071).

It is a sphenic number, since it is the product of 3 distinct primes.

105054 is an admirable number.

It is a super-2 number, since 2×105054² = 22072685832, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8749 + ... + 8760.

It is an arithmetic number, because the mean of its divisors is an integer number (26265).

2¹⁰⁵⁰⁵⁴ is an apocalyptic number.

105054 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105054 is a wasteful number, since it uses less digits than its factorization.

105054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17514.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105054 is about 324.1203480191. The cubic root of 105054 is about 47.1850258925.

Adding to 105054 its reverse (450501), we get a palindrome (555555).

The spelling of 105054 in words is "one hundred five thousand, fifty-four".