105559963960 has 64 divisors (see below), whose sum is σ = 264614584320. Its totient is φ = 37568722560.

The previous prime is 105559963907. The next prime is 105559963961. The reversal of 105559963960 is 69369955501.

It is a super-3 number, since 3×105559963960³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105559963895 and 105559963904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105559963961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531544 + ... + 2572903.

It is an arithmetic number, because the mean of its divisors is an integer number (4134602880).

Almost surely, 2^105559963960 is an apocalyptic number.

105559963960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105559963960 is an abundant number, since it is smaller than the sum of its proper divisors (159054620360).

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

105559963960 is a wasteful number, since it uses less digits than its factorization.

105559963960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104516 (or 5104512 counting only the distinct ones).

The product of its (nonzero) digits is 9841500, while the sum is 58.

The spelling of 105559963960 in words is "one hundred five billion, five hundred fifty-nine million, nine hundred sixty-three thousand, nine hundred sixty".