105555120 has 80 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 25588480.

The previous prime is 105555113. The next prime is 105555133. The reversal of 105555120 is 21555501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105555120² = 22283766716428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 17352 + ... + 22631.

Almost surely, 2^105555120 is an apocalyptic number.

105555120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105555120 is an abundant number, since it is smaller than the sum of its proper divisors (251422032).

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

105555120 is a wasteful number, since it uses less digits than its factorization.

105555120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40010 (or 40004 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 105555120 is about 10274.0021413274. The cubic root of 105555120 is about 472.5993296394.

The spelling of 105555120 in words is "one hundred five million, five hundred fifty-five thousand, one hundred twenty".