105453504 has 84 divisors (see below), whose sum is σ = 325537576. Its totient is φ = 32444928.

The previous prime is 105453497. The next prime is 105453527. The reversal of 105453504 is 405354501.

105453504 is a `hidden beast` number, since 105 + 4 + 53 + 504 = 666.

It is a super-2 number, since 2×105453504² = 22240883011756032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 14529.

Almost surely, 2^105453504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162768788).

105453504 is an abundant number, since it is smaller than the sum of its proper divisors (220084072).

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

105453504 is a wasteful number, since it uses less digits than its factorization.

105453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14101 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105453504 is about 10269.0556527852. The cubic root of 105453504 is about 472.4476266801.

The spelling of 105453504 in words is "one hundred five million, four hundred fifty-three thousand, five hundred four".