123106103340660 has 288 divisors, whose sum is σ = 420362161075584. Its totient is φ = 28899690624000.

The previous prime is 123106103340643. The next prime is 123106103340667. The reversal of 123106103340660 is 66043301601321.

123106103340660 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 610 + 3 + 34 + 0 + 6 + 6 + 0 = 666.

It is a super-2 number, since 2×123106103340660² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123106103340667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11475870 + ... + 19439850.

It is an arithmetic number, because the mean of its divisors is an integer number (1459590837068).

Almost surely, 2^{123106103340660} is an apocalyptic number.

123106103340660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123106103340660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210181080537792).

123106103340660 is an abundant number, since it is smaller than the sum of its proper divisors (297256057734924).

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

123106103340660 is a wasteful number, since it uses less digits than its factorization.

123106103340660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7964255 (or 7964250 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 123106103340660 its reverse (66043301601321), we get a palindrome (189149404941981).

The spelling of 123106103340660 in words is "one hundred twenty-three trillion, one hundred six billion, one hundred three million, three hundred forty thousand, six hundred sixty".