104661992160 has 960 divisors, whose sum is σ = 416713429440. Its totient is φ = 24524881920.

The previous prime is 104661992153. The next prime is 104661992161. The reversal of 104661992160 is 61299166401.

It is a happy number.

104661992160 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 619 + 9 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104661992161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 926212264 + ... + 926212376.

It is an arithmetic number, because the mean of its divisors is an integer number (434076489).

Almost surely, 2^104661992160 is an apocalyptic number.

104661992160 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 104661992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208356714720).

104661992160 is an abundant number, since it is smaller than the sum of its proper divisors (312051437280).

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

104661992160 is a wasteful number, since it uses less digits than its factorization.

104661992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 104661992160 in words is "one hundred four billion, six hundred sixty-one million, nine hundred ninety-two thousand, one hundred sixty".