106797618720 has 480 divisors, whose sum is σ = 414566304768. Its totient is φ = 25727404032.

The previous prime is 106797618691. The next prime is 106797618737. The reversal of 106797618720 is 27816797601.

106797618720 is a `hidden beast` number, since 10 + 6 + 7 + 9 + 7 + 618 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×106797618720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7911817 + ... + 7925303.

Almost surely, 2^106797618720 is an apocalyptic number.

106797618720 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 106797618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207283152384).

106797618720 is an abundant number, since it is smaller than the sum of its proper divisors (307768686048).

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

106797618720 is a wasteful number, since it uses less digits than its factorization.

106797618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13574 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 106797618720 in words is "one hundred six billion, seven hundred ninety-seven million, six hundred eighteen thousand, seven hundred twenty".