105228960 has 96 divisors (see below), whose sum is σ = 339619392. Its totient is φ = 27371520.

The previous prime is 105228943. The next prime is 105228961. The reversal of 105228960 is 69822501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105228960² = 22146268045363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105228961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17007 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (3537702).

Almost surely, 2^105228960 is an apocalyptic number.

105228960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169809696).

105228960 is an abundant number, since it is smaller than the sum of its proper divisors (234390432).

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

105228960 is a wasteful number, since it uses less digits than its factorization.

105228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105228960 is about 10258.1167862332. The cubic root of 105228960 is about 472.1120580441.

The spelling of 105228960 in words is "one hundred five million, two hundred twenty-eight thousand, nine hundred sixty".