104164501531356 has 144 divisors (see below), whose sum is σ = 301711817272320. Its totient is φ = 29682951500160.

The previous prime is 104164501531351. The next prime is 104164501531357. The reversal of 104164501531356 is 653135105461401.

104164501531356 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 4 + 501 + 5 + 3 + 135 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104164501531351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2941900605 + ... + 2941936011.

It is an arithmetic number, because the mean of its divisors is an integer number (2095220953280).

Almost surely, 2^{104164501531356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104164501531356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150855908636160).

104164501531356 is an abundant number, since it is smaller than the sum of its proper divisors (197547315740964).

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

104164501531356 is a wasteful number, since it uses less digits than its factorization.

104164501531356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65824 (or 65819 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 104164501531356 its reverse (653135105461401), we get a palindrome (757299606992757).

The spelling of 104164501531356 in words is "one hundred four trillion, one hundred sixty-four billion, five hundred one million, five hundred thirty-one thousand, three hundred fifty-six".