105796224 has 48 divisors (see below), whose sum is σ = 304442970. Its totient is φ = 35265024.

The previous prime is 105796193. The next prime is 105796259. The reversal of 105796224 is 422697501.

105796224 is a `hidden beast` number, since 1 + 0 + 579 + 62 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99201600 + 6594624 = 9960^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105796224² = 22385682025316352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44767 + ... + 47070.

Almost surely, 2^105796224 is an apocalyptic number.

It is an amenable number.

105796224 is an abundant number, since it is smaller than the sum of its proper divisors (198646746).

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

105796224 is an equidigital number, since it uses as much as digits as its factorization.

105796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91857 (or 91842 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105796224 is about 10285.7291428464. The cubic root of 105796224 is about 472.9588856778.

The spelling of 105796224 in words is "one hundred five million, seven hundred ninety-six thousand, two hundred twenty-four".