105389484 has 48 divisors (see below), whose sum is σ = 250034400. Its totient is φ = 34546176.

The previous prime is 105389467. The next prime is 105389507. The reversal of 105389484 is 484983501.

It is a super-2 number, since 2×105389484² = 22213886675572512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257472 + ... + 257880.

It is an arithmetic number, because the mean of its divisors is an integer number (5209050).

Almost surely, 2^105389484 is an apocalyptic number.

It is an amenable number.

105389484 is an abundant number, since it is smaller than the sum of its proper divisors (144644916).

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

105389484 is a wasteful number, since it uses less digits than its factorization.

105389484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 105389484 is about 10265.9380477383. The cubic root of 105389484 is about 472.3520009028.

The spelling of 105389484 in words is "one hundred five million, three hundred eighty-nine thousand, four hundred eighty-four".