105606449461500 has 192 divisors, whose sum is σ = 333141491679360. Its totient is φ = 25995432902400.

The previous prime is 105606449461427. The next prime is 105606449461549. The reversal of 105606449461500 is 5164944606501.

105606449461500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105606449461500³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12727327 + ... + 19318326.

It is an arithmetic number, because the mean of its divisors is an integer number (1735111935830).

Almost surely, 2^{105606449461500} is an apocalyptic number.

105606449461500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606449461500 is an abundant number, since it is smaller than the sum of its proper divisors (227535042217860).

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

105606449461500 is a wasteful number, since it uses less digits than its factorization.

105606449461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32045714 (or 32045676 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 105606449461500 in words is "one hundred five trillion, six hundred six billion, four hundred forty-nine million, four hundred sixty-one thousand, five hundred".