106612171128 has 48 divisors (see below), whose sum is σ = 305726082480. Its totient is φ = 33446955264.

The previous prime is 106612171121. The next prime is 106612171163. The reversal of 106612171128 is 821171216601.

106612171128 is a `hidden beast` number, since 1 + 0 + 6 + 612 + 1 + 7 + 11 + 28 = 666.

It is a super-2 number, since 2×106612171128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106612171092 and 106612171101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106612171121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43549500 + ... + 43551947.

It is an arithmetic number, because the mean of its divisors is an integer number (6369293385).

Almost surely, 2^106612171128 is an apocalyptic number.

106612171128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106612171128 is an abundant number, since it is smaller than the sum of its proper divisors (199113911352).

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

106612171128 is a wasteful number, since it uses less digits than its factorization.

106612171128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87101476 (or 87101469 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 106612171128 its reverse (821171216601), we get a palindrome (927783387729).

The spelling of 106612171128 in words is "one hundred six billion, six hundred twelve million, one hundred seventy-one thousand, one hundred twenty-eight".