106060510100055 has 64 divisors (see below), whose sum is σ = 196309214696448. Its totient is φ = 47892504253440.

The previous prime is 106060510100003. The next prime is 106060510100059. The reversal of 106060510100055 is 550001015060601.

It is not a de Polignac number, because 106060510100055 - 2¹⁰ = 106060510099031 is a prime.

It is a super-2 number, since 2×106060510100055² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106060510099995 and 106060510100031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060510100059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50360485 + ... + 52424225.

It is an arithmetic number, because the mean of its divisors is an integer number (3067331479632).

Almost surely, 2^{106060510100055} is an apocalyptic number.

106060510100055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106060510100055 is a deficient number, since it is larger than the sum of its proper divisors (90248704596393).

106060510100055 is a wasteful number, since it uses less digits than its factorization.

106060510100055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069736.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 106060510100055 its reverse (550001015060601), we get a palindrome (656061525160656).

The spelling of 106060510100055 in words is "one hundred six trillion, sixty billion, five hundred ten million, one hundred thousand, fifty-five".