105663711273600 has 384 divisors, whose sum is σ = 372019212996480. Its totient is φ = 26294537420800.

The previous prime is 105663711273413. The next prime is 105663711273607. The reversal of 105663711273600 is 6372117366501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105663711273600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105663711273600.

It is not an unprimeable number, because it can be changed into a prime (105663711273607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3216832 + ... + 14888768.

It is an arithmetic number, because the mean of its divisors is an integer number (968800033845).

Almost surely, 2^{105663711273600} is an apocalyptic number.

105663711273600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105663711273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186009606498240).

105663711273600 is an abundant number, since it is smaller than the sum of its proper divisors (266355501722880).

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

105663711273600 is a wasteful number, since it uses less digits than its factorization.

105663711273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672028 (or 11672011 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 105663711273600 in words is "one hundred five trillion, six hundred sixty-three billion, seven hundred eleven million, two hundred seventy-three thousand, six hundred".