105225984 has 108 divisors (see below), whose sum is σ = 306906600. Its totient is φ = 34670592.

The previous prime is 105225959. The next prime is 105226013. The reversal of 105225984 is 489522501.

105225984 is a `hidden beast` number, since 1 + 0 + 522 + 59 + 84 = 666.

It is a super-2 number, since 2×105225984² = 22145015417536512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 250927 + ... + 251345.

Almost surely, 2^105225984 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 105225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153453300).

105225984 is an abundant number, since it is smaller than the sum of its proper divisors (201680616).

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

105225984 is a wasteful number, since it uses less digits than its factorization.

105225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105225984 is about 10257.9717293430. The cubic root of 105225984 is about 472.1076073722.

The spelling of 105225984 in words is "one hundred five million, two hundred twenty-five thousand, nine hundred eighty-four".