106933992960 has 320 divisors, whose sum is σ = 362799404352. Its totient is φ = 26776436736.

The previous prime is 106933992953. The next prime is 106933992961. The reversal of 106933992960 is 69299339601.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106933992960² (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 106933992960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106933992961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87866272 + ... + 87867488.

Almost surely, 2^106933992960 is an apocalyptic number.

106933992960 is a gapful number since it is divisible by the number (10) 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 106933992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181399702176).

106933992960 is an abundant number, since it is smaller than the sum of its proper divisors (255865411392).

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

106933992960 is a wasteful number, since it uses less digits than its factorization.

106933992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 57.

The spelling of 106933992960 in words is "one hundred six billion, nine hundred thirty-three million, nine hundred ninety-two thousand, nine hundred sixty".