106793050320 has 800 divisors, whose sum is σ = 418149236736. Its totient is φ = 25038720000.

The previous prime is 106793050319. The next prime is 106793050327. The reversal of 106793050320 is 23050397601.

106793050320 is a `hidden beast` number, since 1 + 0 + 67 + 93 + 0 + 503 + 2 + 0 = 666.

It is a super-2 number, since 2×106793050320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106793050327) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 425470195 + ... + 425470445.

Almost surely, 2^106793050320 is an apocalyptic number.

106793050320 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 106793050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209074618368).

106793050320 is an abundant number, since it is smaller than the sum of its proper divisors (311356186416).

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

106793050320 is a wasteful number, since it uses less digits than its factorization.

106793050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 106793050320 in words is "one hundred six billion, seven hundred ninety-three million, fifty thousand, three hundred twenty".