105355661544 has 192 divisors, whose sum is σ = 335337475200. Its totient is φ = 29251072512.

The previous prime is 105355661513. The next prime is 105355661639. The reversal of 105355661544 is 445166553501.

105355661544 is a `hidden beast` number, since 1 + 0 + 5 + 35 + 566 + 1 + 54 + 4 = 666.

It is a super-2 number, since 2×105355661544² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105355661544.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16910622 + ... + 16916850.

It is an arithmetic number, because the mean of its divisors is an integer number (1746549350).

Almost surely, 2^105355661544 is an apocalyptic number.

105355661544 is a gapful number since it is divisible by the number (14) 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 105355661544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167668737600).

105355661544 is an abundant number, since it is smaller than the sum of its proper divisors (229981813656).

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

105355661544 is a wasteful number, since it uses less digits than its factorization.

105355661544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 105355661544 in words is "one hundred five billion, three hundred fifty-five million, six hundred sixty-one thousand, five hundred forty-four".