104172161952096 has 768 divisors, whose sum is σ = 362093914828800. Its totient is φ = 28519730380800.

The previous prime is 104172161952037. The next prime is 104172161952097. The reversal of 104172161952096 is 690259161271401.

104172161952096 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 7 + 2 + 16 + 19 + 520 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104172161952097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4362489085 + ... + 4362512963.

It is an arithmetic number, because the mean of its divisors is an integer number (471476451600).

Almost surely, 2^{104172161952096} is an apocalyptic number.

104172161952096 is a gapful number since it is divisible by the number (16) 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 104172161952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181046957414400).

104172161952096 is an abundant number, since it is smaller than the sum of its proper divisors (257921752876704).

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

104172161952096 is a wasteful number, since it uses less digits than its factorization.

104172161952096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24260 (or 24246 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 104172161952096 in words is "one hundred four trillion, one hundred seventy-two billion, one hundred sixty-one million, nine hundred fifty-two thousand, ninety-six".