105505061000 has 64 divisors (see below), whose sum is σ = 246953070000. Its totient is φ = 42189849600.

The previous prime is 105505060987. The next prime is 105505061009. The reversal of 105505061000 is 160505501.

105505061000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 452583076 + 105052477924 = 21274^2 + 324118^2 .

It is a super-2 number, since 2×105505061000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505061009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3975776 + ... + 4002224.

Almost surely, 2^105505061000 is an apocalyptic number.

105505061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505061000 is an abundant number, since it is smaller than the sum of its proper divisors (141448009000).

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

105505061000 is a wasteful number, since it uses less digits than its factorization.

105505061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30459 (or 30445 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 105505061000 its reverse (160505501), we get a palindrome (105665566501).

The spelling of 105505061000 in words is "one hundred five billion, five hundred five million, sixty-one thousand".