106793734320 has 480 divisors, whose sum is σ = 460612518912. Its totient is φ = 21552334848.

The previous prime is 106793734303. The next prime is 106793734367. The reversal of 106793734320 is 23437397601.

It is a happy number.

106793734320 is a `hidden beast` number, since 1 + 0 + 67 + 93 + 73 + 432 + 0 = 666.

106793734320 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 2×106793734320² (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1471527 + ... + 1542393.

Almost surely, 2^106793734320 is an apocalyptic number.

106793734320 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 106793734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230306259456).

106793734320 is an abundant number, since it is smaller than the sum of its proper divisors (353818784592).

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

106793734320 is a wasteful number, since it uses less digits than its factorization.

106793734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70929 (or 70920 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 106793734320 in words is "one hundred six billion, seven hundred ninety-three million, seven hundred thirty-four thousand, three hundred twenty".