103164405508368 has 480 divisors, whose sum is σ = 316680043680000. Its totient is φ = 31226689105920.

The previous prime is 103164405508319. The next prime is 103164405508379. The reversal of 103164405508368 is 863805504461301.

It is a happy number.

103164405508368 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 4 + 4 + 0 + 550 + 83 + 6 + 8 = 666.

It is a super-4 number, since 4×103164405508368⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7278932130 + ... + 7278946302.

It is an arithmetic number, because the mean of its divisors is an integer number (659750091000).

Almost surely, 2^{103164405508368} is an apocalyptic number.

103164405508368 is a gapful number since it is divisible by the number (18) 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 103164405508368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158340021840000).

103164405508368 is an abundant number, since it is smaller than the sum of its proper divisors (213515638171632).

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

103164405508368 is a wasteful number, since it uses less digits than its factorization.

103164405508368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

Adding to 103164405508368 its reverse (863805504461301), we get a palindrome (966969909969669).

The spelling of 103164405508368 in words is "one hundred three trillion, one hundred sixty-four billion, four hundred five million, five hundred eight thousand, three hundred sixty-eight".