105655911348 has 96 divisors (see below), whose sum is σ = 277151212800. Its totient is φ = 31083300864.

The previous prime is 105655911343. The next prime is 105655911451. The reversal of 105655911348 is 843119556501.

It is a super-2 number, since 2×105655911348² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105655911297 and 105655911306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105655911343) 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 31 ways as a sum of consecutive naturals, for example, 12155388 + ... + 12164076.

It is an arithmetic number, because the mean of its divisors is an integer number (2886991800).

Almost surely, 2^105655911348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105655911348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138575606400).

105655911348 is an abundant number, since it is smaller than the sum of its proper divisors (171495301452).

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

105655911348 is a wasteful number, since it uses less digits than its factorization.

105655911348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 105655911348 in words is "one hundred five billion, six hundred fifty-five million, nine hundred eleven thousand, three hundred forty-eight".