106804386024 has 128 divisors (see below), whose sum is σ = 308271744000. Its totient is φ = 30204403200.

The previous prime is 106804386019. The next prime is 106804386049. The reversal of 106804386024 is 420683408601.

It is a super-2 number, since 2×106804386024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 32373127 + ... + 32376425.

It is an arithmetic number, because the mean of its divisors is an integer number (2408373000).

Almost surely, 2^106804386024 is an apocalyptic number.

106804386024 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 106804386024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154135872000).

106804386024 is an abundant number, since it is smaller than the sum of its proper divisors (201467357976).

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

106804386024 is a wasteful number, since it uses less digits than its factorization.

106804386024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 106804386024 in words is "one hundred six billion, eight hundred four million, three hundred eighty-six thousand, twenty-four".