106824153696 has 72 divisors (see below), whose sum is σ = 303642962280. Its totient is φ = 32868965376.

The previous prime is 106824153691. The next prime is 106824153719. The reversal of 106824153696 is 696351428601.

106824153696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106824153696² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824153691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3275941 + ... + 3308388.

It is an arithmetic number, because the mean of its divisors is an integer number (4217263365).

Almost surely, 2^106824153696 is an apocalyptic number.

106824153696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106824153696 is an abundant number, since it is smaller than the sum of its proper divisors (196818808584).

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

106824153696 is a wasteful number, since it uses less digits than its factorization.

106824153696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584368 (or 6584347 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 106824153696 in words is "one hundred six billion, eight hundred twenty-four million, one hundred fifty-three thousand, six hundred ninety-six".