106055005010055 has 64 divisors (see below), whose sum is σ = 172013793509376. Its totient is φ = 55791711360000.

The previous prime is 106055005009997. The next prime is 106055005010137. The reversal of 106055005010055 is 550010500550601.

It is not a de Polignac number, because 106055005010055 - 2¹⁷ = 106055004878983 is a prime.

It is a super-2 number, since 2×106055005010055² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106055005009998 and 106055005010025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276274810 + ... + 2276321400.

It is an arithmetic number, because the mean of its divisors is an integer number (2687715523584).

Almost surely, 2^{106055005010055} is an apocalyptic number.

106055005010055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106055005010055 is a deficient number, since it is larger than the sum of its proper divisors (65958788499321).

106055005010055 is a wasteful number, since it uses less digits than its factorization.

106055005010055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52328.

The product of its (nonzero) digits is 18750, while the sum is 33.

Adding to 106055005010055 its reverse (550010500550601), we get a palindrome (656065505560656).

The spelling of 106055005010055 in words is "one hundred six trillion, fifty-five billion, five million, ten thousand, fifty-five".