105229843488 has 864 divisors, whose sum is σ = 393392039040. Its totient is φ = 26094182400.

The previous prime is 105229843487. The next prime is 105229843517. The reversal of 105229843488 is 884348922501.

105229843488 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 298 + 4 + 348 + 8 = 666.

It is a super-2 number, since 2×105229843488² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105229843487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 803281183 + ... + 803281313.

It is an arithmetic number, because the mean of its divisors is an integer number (455314860).

Almost surely, 2^105229843488 is an apocalyptic number.

105229843488 is a gapful number since it is divisible by the number (18) 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 105229843488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196696019520).

105229843488 is an abundant number, since it is smaller than the sum of its proper divisors (288162195552).

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

105229843488 is a wasteful number, since it uses less digits than its factorization.

105229843488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 105229843488 in words is "one hundred five billion, two hundred twenty-nine million, eight hundred forty-three thousand, four hundred eighty-eight".