105484665216 has 384 divisors, whose sum is σ = 345692067840. Its totient is φ = 27886510080.

The previous prime is 105484665191. The next prime is 105484665301. The reversal of 105484665216 is 612566484501.

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

It is a super-2 number, since 2×105484665216² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44079316 + ... + 44081708.

It is an arithmetic number, because the mean of its divisors is an integer number (900239760).

Almost surely, 2^105484665216 is an apocalyptic number.

105484665216 is a gapful number since it is divisible by the number (16) 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 105484665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846033920).

105484665216 is an abundant number, since it is smaller than the sum of its proper divisors (240207402624).

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

105484665216 is a wasteful number, since it uses less digits than its factorization.

105484665216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

It can be divided in two parts, 10548 and 4665216, that added together give a palindrome (4675764).

The spelling of 105484665216 in words is "one hundred five billion, four hundred eighty-four million, six hundred sixty-five thousand, two hundred sixteen".