105391484 has 72 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 45337600.

The previous prime is 105391471. The next prime is 105391493. The reversal of 105391484 is 484193501.

It is a super-3 number, since 3×105391484³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932612 + ... + 932724.

It is an arithmetic number, because the mean of its divisors is an integer number (2971752).

Almost surely, 2^105391484 is an apocalyptic number.

It is an amenable number.

105391484 is an abundant number, since it is smaller than the sum of its proper divisors (108574660).

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

105391484 is a wasteful number, since it uses less digits than its factorization.

105391484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105391484 is about 10266.0354567866. The cubic root of 105391484 is about 472.3549888608.

The spelling of 105391484 in words is "one hundred five million, three hundred ninety-one thousand, four hundred eighty-four".