105555560 has 96 divisors (see below), whose sum is σ = 264728520. Its totient is φ = 37847040.

The previous prime is 105555557. The next prime is 105555581. The reversal of 105555560 is 65555501.

It can be written as a sum of positive squares in 4 ways, for example, as 38217124 + 67338436 = 6182^2 + 8206^2 .

It is a super-2 number, since 2×105555560² = 22283952493827200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546824 + ... + 547016.

Almost surely, 2^105555560 is an apocalyptic number.

105555560 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 105555560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132364260).

105555560 is an abundant number, since it is smaller than the sum of its proper divisors (159172960).

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

105555560 is a wasteful number, since it uses less digits than its factorization.

105555560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The square root of 105555560 is about 10274.0235545769. The cubic root of 105555560 is about 472.5999863055.

The spelling of 105555560 in words is "one hundred five million, five hundred fifty-five thousand, five hundred sixty".