105506060610610 has 32 divisors (see below), whose sum is σ = 207217332810432. Its totient is φ = 38358100294080.

The previous prime is 105506060610571. The next prime is 105506060610611. The reversal of 105506060610610 is 16016060605501.

It is a super-3 number, since 3×105506060610610³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105506060610610.

It is not an unprimeable number, because it can be changed into a prime (105506060610611) 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, 96201352 + ... + 97291891.

It is an arithmetic number, because the mean of its divisors is an integer number (6475541650326).

Almost surely, 2^{105506060610610} is an apocalyptic number.

105506060610610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105506060610610 is a deficient number, since it is larger than the sum of its proper divisors (101711272199822).

105506060610610 is a wasteful number, since it uses less digits than its factorization.

105506060610610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193498218.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 105506060610610 in words is "one hundred five trillion, five hundred six billion, sixty million, six hundred ten thousand, six hundred ten".