106565605115500 has 96 divisors (see below), whose sum is σ = 234214868160000. Its totient is φ = 42356094782400.

The previous prime is 106565605115461. The next prime is 106565605115513. The reversal of 106565605115500 is 5511506565601.

It is a happy number.

It is a super-2 number, since 2×106565605115500² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407287719 + ... + 407549281.

It is an arithmetic number, because the mean of its divisors is an integer number (2439738210000).

Almost surely, 2^{106565605115500} is an apocalyptic number.

106565605115500 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 106565605115500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117107434080000).

106565605115500 is an abundant number, since it is smaller than the sum of its proper divisors (127649263044500).

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

106565605115500 is a wasteful number, since it uses less digits than its factorization.

106565605115500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266744 (or 266732 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 46.

The spelling of 106565605115500 in words is "one hundred six trillion, five hundred sixty-five billion, six hundred five million, one hundred fifteen thousand, five hundred".