106853921328 has 720 divisors, whose sum is σ = 384953361408. Its totient is φ = 25224192000.

The previous prime is 106853921327. The next prime is 106853921351. The reversal of 106853921328 is 823129358601.

It is a super-2 number, since 2×106853921328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106853921327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 231787018 + ... + 231787478.

Almost surely, 2^106853921328 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 106853921328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192476680704).

106853921328 is an abundant number, since it is smaller than the sum of its proper divisors (278099440080).

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

106853921328 is a wasteful number, since it uses less digits than its factorization.

106853921328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 106853921328 in words is "one hundred six billion, eight hundred fifty-three million, nine hundred twenty-one thousand, three hundred twenty-eight".