106565711616 has 1152 divisors, whose sum is σ = 421044377600. Its totient is φ = 25798901760.

The previous prime is 106565711599. The next prime is 106565711617. The reversal of 106565711616 is 616117565601.

106565711616 is a `hidden beast` number, since 1 + 0 + 6 + 56 + 571 + 16 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106565711616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106565711617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 442181256 + ... + 442181496.

Almost surely, 2^106565711616 is an apocalyptic number.

106565711616 is a gapful number since it is divisible by the number (16) 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 106565711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210522188800).

106565711616 is an abundant number, since it is smaller than the sum of its proper divisors (314478665984).

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

106565711616 is a wasteful number, since it uses less digits than its factorization.

106565711616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 106565711616 in words is "one hundred six billion, five hundred sixty-five million, seven hundred eleven thousand, six hundred sixteen".