105828218496 has 1344 divisors, whose sum is σ = 431780818560. Its totient is φ = 25127055360.

The previous prime is 105828218473. The next prime is 105828218533. The reversal of 105828218496 is 694812828501.

105828218496 is a `hidden beast` number, since 1 + 0 + 582 + 8 + 2 + 18 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105828218496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 1027458381 + ... + 1027458483.

It is an arithmetic number, because the mean of its divisors is an integer number (321265490).

Almost surely, 2^105828218496 is an apocalyptic number.

105828218496 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 105828218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215890409280).

105828218496 is an abundant number, since it is smaller than the sum of its proper divisors (325952600064).

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

105828218496 is a wasteful number, since it uses less digits than its factorization.

105828218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

It can be divided in two parts, 1058282 and 18496, that added together give a triangular number (1076778 = T₁₄₆₇).

The spelling of 105828218496 in words is "one hundred five billion, eight hundred twenty-eight million, two hundred eighteen thousand, four hundred ninety-six".