106605309753792 has 280 divisors, whose sum is σ = 321115877462160. Its totient is φ = 34962408898560.

The previous prime is 106605309753791. The next prime is 106605309753847. The reversal of 106605309753792 is 297357903506601.

106605309753792 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 5 + 3 + 0 + 9 + 7 + 537 + 92 = 666.

It is a super-2 number, since 2×106605309753792² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106605309753791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287749792 + ... + 288120032.

Almost surely, 2^{106605309753792} is an apocalyptic number.

106605309753792 is a gapful number since it is divisible by the number (12) 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 106605309753792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160557938731080).

106605309753792 is an abundant number, since it is smaller than the sum of its proper divisors (214510567708368).

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

106605309753792 is an equidigital number, since it uses as much as digits as its factorization.

106605309753792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371161 (or 371142 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 106605309753792 in words is "one hundred six trillion, six hundred five billion, three hundred nine million, seven hundred fifty-three thousand, seven hundred ninety-two".