106933468320 has 1296 divisors, whose sum is σ = 467270687520. Its totient is φ = 22138583040.

The previous prime is 106933468309. The next prime is 106933468321. The reversal of 106933468320 is 23864339601.

It is a super-2 number, since 2×106933468320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106933468321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1288354999 + ... + 1288355081.

It is an arithmetic number, because the mean of its divisors is an integer number (360548370).

Almost surely, 2^106933468320 is an apocalyptic number.

106933468320 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 106933468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233635343760).

106933468320 is an abundant number, since it is smaller than the sum of its proper divisors (360337219200).

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

106933468320 is a wasteful number, since it uses less digits than its factorization.

106933468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 106933468320 in words is "one hundred six billion, nine hundred thirty-three million, four hundred sixty-eight thousand, three hundred twenty".