105546461556 has 48 divisors (see below), whose sum is σ = 259262760960. Its totient is φ = 33327139680.

The previous prime is 105546461513. The next prime is 105546461557. The reversal of 105546461556 is 655164645501.

It is a super-3 number, since 3×105546461556³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105546461557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3346621 + ... + 3378011.

It is an arithmetic number, because the mean of its divisors is an integer number (5401307520).

Almost surely, 2^105546461556 is an apocalyptic number.

It is an amenable number.

105546461556 is an abundant number, since it is smaller than the sum of its proper divisors (153716299404).

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

105546461556 is a wasteful number, since it uses less digits than its factorization.

105546461556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46164 (or 46162 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 105546461556 in words is "one hundred five billion, five hundred forty-six million, four hundred sixty-one thousand, five hundred fifty-six".