105055120 has 40 divisors (see below), whose sum is σ = 250218360. Its totient is φ = 40995840.

The previous prime is 105055117. The next prime is 105055133. The reversal of 105055120 is 21550501.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 94322944 = 3276^2 + 9712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105055120² = 22073156476428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12735 + ... + 19294.

It is an arithmetic number, because the mean of its divisors is an integer number (6255459).

Almost surely, 2^105055120 is an apocalyptic number.

105055120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055120 is an abundant number, since it is smaller than the sum of its proper divisors (145163240).

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

105055120 is a wasteful number, since it uses less digits than its factorization.

105055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32083 (or 32077 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 105055120 is about 10249.6399936778. The cubic root of 105055120 is about 471.8519357468.

It can be divided in two parts, 10505 and 5120, that added together give a 6-th power (15625 = 5⁶).

The spelling of 105055120 in words is "one hundred five million, fifty-five thousand, one hundred twenty".