105555140 has 24 divisors (see below), whose sum is σ = 222337752. Its totient is φ = 42094080.

The previous prime is 105555133. The next prime is 105555143. The reversal of 105555140 is 41555501.

It can be written as a sum of positive squares in 4 ways, for example, as 28536964 + 77018176 = 5342^2 + 8776^2 .

It is a super-2 number, since 2×105555140² = 22283775160839200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105555143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1091 + ... + 14570.

It is an arithmetic number, because the mean of its divisors is an integer number (9264073).

Almost surely, 2^105555140 is an apocalyptic number.

105555140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105555140 is an abundant number, since it is smaller than the sum of its proper divisors (116782612).

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

105555140 is a wasteful number, since it uses less digits than its factorization.

105555140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16007 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The square root of 105555140 is about 10274.0031146579. The cubic root of 105555140 is about 472.5993594879.

The spelling of 105555140 in words is "one hundred five million, five hundred fifty-five thousand, one hundred forty".