106105550565 has 64 divisors (see below), whose sum is σ = 196686028800. Its totient is φ = 47840592384.

The previous prime is 106105550531. The next prime is 106105550567. The reversal of 106105550565 is 565055501601.

It is not a de Polignac number, because 106105550565 - 2¹⁰ = 106105549541 is a prime.

It is a super-2 number, since 2×106105550565² (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 (106105550567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8446329 + ... + 8458881.

It is an arithmetic number, because the mean of its divisors is an integer number (3073219200).

Almost surely, 2^106105550565 is an apocalyptic number.

106105550565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105550565 is a deficient number, since it is larger than the sum of its proper divisors (90580478235).

106105550565 is a wasteful number, since it uses less digits than its factorization.

106105550565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 106105550565 in words is "one hundred six billion, one hundred five million, five hundred fifty thousand, five hundred sixty-five".