106000111055052 has 48 divisors (see below), whose sum is σ = 276912927984000. Its totient is φ = 35063649962640.

The previous prime is 106000111055039. The next prime is 106000111055057. The reversal of 106000111055052 is 250550111000601.

106000111055052 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 0 + 1 + 1 + 1 + 0 + 550 + 52 = 666.

It is a super-3 number, since 3×106000111055052³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106000111055057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3746102302 + ... + 3746130597.

It is an arithmetic number, because the mean of its divisors is an integer number (5769019333000).

Almost surely, 2^{106000111055052} is an apocalyptic number.

106000111055052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106000111055052 is an abundant number, since it is smaller than the sum of its proper divisors (170912816928948).

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

106000111055052 is a wasteful number, since it uses less digits than its factorization.

106000111055052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492233043 (or 7492233035 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 106000111055052 its reverse (250550111000601), we get a palindrome (356550222055653).

The spelling of 106000111055052 in words is "one hundred six trillion, one hundred eleven million, fifty-five thousand, fifty-two".