106005506655 has 32 divisors (see below), whose sum is σ = 172034731008. Its totient is φ = 55727974400.

The previous prime is 106005506653. The next prime is 106005506687. The reversal of 106005506655 is 556605500601.

It is not a de Polignac number, because 106005506655 - 2¹ = 106005506653 is a prime.

It is a super-2 number, since 2×106005506655² (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 (106005506653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7225087 + ... + 7239743.

It is an arithmetic number, because the mean of its divisors is an integer number (5376085344).

Almost surely, 2^106005506655 is an apocalyptic number.

106005506655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106005506655 is a deficient number, since it is larger than the sum of its proper divisors (66029224353).

106005506655 is a wasteful number, since it uses less digits than its factorization.

106005506655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21527.

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 106005506655 in words is "one hundred six billion, five million, five hundred six thousand, six hundred fifty-five".