6100105506 has 32 divisors (see below), whose sum is σ = 13365043200. Its totient is φ = 1840777680.

The previous prime is 6100105463. The next prime is 6100105511. The reversal of 6100105506 is 6055010016.

It is a super-3 number, since 3×6100105506³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177586 + ... + 209133.

It is an arithmetic number, because the mean of its divisors is an integer number (417657600).

Almost surely, 2^6100105506 is an apocalyptic number.

6100105506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6100105506 is an abundant number, since it is smaller than the sum of its proper divisors (7264937694).

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

6100105506 is a wasteful number, since it uses less digits than its factorization.

6100105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386974.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 6100105506 is about 78103.1721890987. The cubic root of 6100105506 is about 1827.1706710300.

It can be divided in two parts, 610010 and 5506, that added together give a palindrome (615516).

The spelling of 6100105506 in words is "six billion, one hundred million, one hundred five thousand, five hundred six".