106093044824 has 72 divisors (see below), whose sum is σ = 223089630660. Its totient is φ = 47277030528.

The previous prime is 106093044809. The next prime is 106093044833. The reversal of 106093044824 is 428440390601.

It is a super-2 number, since 2×106093044824² (a number of 23 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 1090379 + ... + 1183685.

Almost surely, 2^106093044824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106093044824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111544815330).

106093044824 is an abundant number, since it is smaller than the sum of its proper divisors (116996585836).

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

106093044824 is a wasteful number, since it uses less digits than its factorization.

106093044824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93397 (or 93351 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 106093044824 in words is "one hundred six billion, ninety-three million, forty-four thousand, eight hundred twenty-four".