105505006010 has 16 divisors (see below), whose sum is σ = 190273528872. Its totient is φ = 42120998400.

The previous prime is 105505005997. The next prime is 105505006031. The reversal of 105505006010 is 10600505501.

It can be written as a sum of positive squares in 4 ways, for example, as 42688105321 + 62816900689 = 206611^2 + 250633^2 .

It is a super-2 number, since 2×105505006010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10120031 + ... + 10130450.

Almost surely, 2^105505006010 is an apocalyptic number.

105505006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505006010 is a deficient number, since it is larger than the sum of its proper divisors (84768522862).

105505006010 is a wasteful number, since it uses less digits than its factorization.

105505006010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20251009.

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

The spelling of 105505006010 in words is "one hundred five billion, five hundred five million, six thousand, ten".