105217120 has 24 divisors (see below), whose sum is σ = 248575824. Its totient is φ = 42086784.

The previous prime is 105217103. The next prime is 105217127. The reversal of 105217120 is 21712501.

It is a super-2 number, since 2×105217120² = 22141284682188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105217127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328644 + ... + 328963.

It is an arithmetic number, because the mean of its divisors is an integer number (10357326).

Almost surely, 2^105217120 is an apocalyptic number.

105217120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105217120 is an abundant number, since it is smaller than the sum of its proper divisors (143358704).

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

105217120 is an equidigital number, since it uses as much as digits as its factorization.

105217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657622 (or 657614 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105217120 is about 10257.5396660213. The cubic root of 105217120 is about 472.0943505726.

Adding to 105217120 its reverse (21712501), we get a palindrome (126929621).

The spelling of 105217120 in words is "one hundred five million, two hundred seventeen thousand, one hundred twenty".