106793008560 has 720 divisors, whose sum is σ = 448789543488. Its totient is φ = 22215720960.

The previous prime is 106793008481. The next prime is 106793008583. The reversal of 106793008560 is 65800397601.

It is a happy number.

106793008560 is a `hidden beast` number, since 10 + 6 + 79 + 3 + 0 + 0 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106793008560² (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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82337832 + ... + 82339128.

Almost surely, 2^106793008560 is an apocalyptic number.

106793008560 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 106793008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224394771744).

106793008560 is an abundant number, since it is smaller than the sum of its proper divisors (341996534928).

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

106793008560 is a wasteful number, since it uses less digits than its factorization.

106793008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 106793008560 in words is "one hundred six billion, seven hundred ninety-three million, eight thousand, five hundred sixty".