106824541824 has 1536 divisors, whose sum is σ = 443112284160. Its totient is φ = 24723947520.

The previous prime is 106824541807. The next prime is 106824541867. The reversal of 106824541824 is 428145428601.

106824541824 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 24 + 541 + 82 + 4 = 666.

It is a super-2 number, since 2×106824541824² (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 106824541824.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1463349852 + ... + 1463349924.

It is an arithmetic number, because the mean of its divisors is an integer number (288484560).

Almost surely, 2^106824541824 is an apocalyptic number.

106824541824 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 106824541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221556142080).

106824541824 is an abundant number, since it is smaller than the sum of its proper divisors (336287742336).

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

106824541824 is a wasteful number, since it uses less digits than its factorization.

106824541824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 106824541824 in words is "one hundred six billion, eight hundred twenty-four million, five hundred forty-one thousand, eight hundred twenty-four".