105555555 has 96 divisors (see below), whose sum is σ = 222108480. Its totient is φ = 48009024.

The previous prime is 105555553. The next prime is 105555557. The reversal of 105555555 is 555555501.

It is a happy number.

105555555 is a `hidden beast` number, since 1 + 0 + 55 + 55 + 555 = 666.

It is an interprime number because it is at equal distance from previous prime (105555553) and next prime (105555557).

It is not a de Polignac number, because 105555555 - 2¹ = 105555553 is a prime.

It is a super-4 number, since 4×105555555⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

105555555 is a modest number, since divided by 55555 gives 1055 as remainder.

It is not an unprimeable number, because it can be changed into a prime (105555553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535717 + ... + 535913.

It is an arithmetic number, because the mean of its divisors is an integer number (2313630).

Almost surely, 2^105555555 is an apocalyptic number.

105555555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105555555 is an abundant number, since it is smaller than the sum of its proper divisors (116552925).

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

105555555 is an frugal number, since it uses more digits than its factorization.

105555555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The square root of 105555555 is about 10274.0233112447. The cubic root of 105555555 is about 472.5999788434.

It can be divided in two parts, 10555 and 5555, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 105555555 in words is "one hundred five million, five hundred fifty-five thousand, five hundred fifty-five".