104777160 has 64 divisors (see below), whose sum is σ = 315722880. Its totient is φ = 27816960.

The previous prime is 104777149. The next prime is 104777161. The reversal of 104777160 is 61777401.

It is not an unprimeable number, because it can be changed into a prime (104777161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27109 + ... + 30731.

It is an arithmetic number, because the mean of its divisors is an integer number (4933170).

Almost surely, 2^104777160 is an apocalyptic number.

104777160 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 104777160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157861440).

104777160 is an abundant number, since it is smaller than the sum of its proper divisors (210945720).

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

104777160 is a wasteful number, since it uses less digits than its factorization.

104777160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 104777160 is about 10236.0715120597. The cubic root of 104777160 is about 471.4354185022.

The spelling of 104777160 in words is "one hundred four million, seven hundred seventy-seven thousand, one hundred sixty".