106936164960768 has 480 divisors, whose sum is σ = 363446719796160. Its totient is φ = 29840747397120.

The previous prime is 106936164960689. The next prime is 106936164960773. The reversal of 106936164960768 is 867069461639601.

106936164960768 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 6 + 1 + 6 + 4 + 9 + 607 + 6 + 8 = 666.

It is a super-2 number, since 2×106936164960768² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 106936164960696 and 106936164960705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275903880 + ... + 276291192.

It is an arithmetic number, because the mean of its divisors is an integer number (757180666242).

Almost surely, 2^{106936164960768} is an apocalyptic number.

106936164960768 is a gapful number since it is divisible by the number (18) 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 106936164960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181723359898080).

106936164960768 is an abundant number, since it is smaller than the sum of its proper divisors (256510554835392).

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

106936164960768 is a wasteful number, since it uses less digits than its factorization.

106936164960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387780 (or 387761 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 106936164960768 in words is "one hundred six trillion, nine hundred thirty-six billion, one hundred sixty-four million, nine hundred sixty thousand, seven hundred sixty-eight".