106411430565 has 160 divisors (see below), whose sum is σ = 210497253120. Its totient is φ = 51001574400.

The previous prime is 106411430561. The next prime is 106411430579. The reversal of 106411430565 is 565034114601.

106411430565 is a `hidden beast` number, since 1 + 0 + 64 + 1 + 1 + 4 + 30 + 565 = 666.

It is not a de Polignac number, because 106411430565 - 2² = 106411430561 is a prime.

It is a super-2 number, since 2×106411430565² (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 (106411430561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 209059531 + ... + 209060039.

It is an arithmetic number, because the mean of its divisors is an integer number (1315607832).

Almost surely, 2^106411430565 is an apocalyptic number.

106411430565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106411430565 is a deficient number, since it is larger than the sum of its proper divisors (104085822555).

106411430565 is a wasteful number, since it uses less digits than its factorization.

106411430565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106411430565 in words is "one hundred six billion, four hundred eleven million, four hundred thirty thousand, five hundred sixty-five".