106208675055 has 96 divisors (see below), whose sum is σ = 212671979520. Its totient is φ = 48027997440.

The previous prime is 106208675033. The next prime is 106208675093. The reversal of 106208675055 is 550576802601.

106208675055 is a `hidden beast` number, since 1 + 0 + 62 + 0 + 86 + 7 + 505 + 5 = 666.

It is not a de Polignac number, because 106208675055 - 2⁸ = 106208674799 is a prime.

It is a super-2 number, since 2×106208675055² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106208675055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57069825 + ... + 57071685.

It is an arithmetic number, because the mean of its divisors is an integer number (2215333120).

Almost surely, 2^106208675055 is an apocalyptic number.

106208675055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106208675055 is an abundant number, since it is smaller than the sum of its proper divisors (106463304465).

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

106208675055 is a wasteful number, since it uses less digits than its factorization.

106208675055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 106208675055 in words is "one hundred six billion, two hundred eight million, six hundred seventy-five thousand, fifty-five".