105120120 has 128 divisors (see below), whose sum is σ = 376151040. Its totient is φ = 22978560.

The previous prime is 105120109. The next prime is 105120121. The reversal of 105120120 is 21021501.

It is a super-2 number, since 2×105120120² = 22100479257628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 105120096 and 105120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16600 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (2938680).

Almost surely, 2^105120120 is an apocalyptic number.

105120120 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 105120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188075520).

105120120 is an abundant number, since it is smaller than the sum of its proper divisors (271030920).

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

105120120 is a wasteful number, since it uses less digits than its factorization.

105120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105120120 is about 10252.8103464367. The cubic root of 105120120 is about 471.9492308699.

Adding to 105120120 its reverse (21021501), we get a palindrome (126141621).

The spelling of 105120120 in words is "one hundred five million, one hundred twenty thousand, one hundred twenty".