842107104 has 240 divisors, whose sum is σ = 2716837200. Its totient is φ = 254693376.

The previous prime is 842107099. The next prime is 842107139. The reversal of 842107104 is 401701248.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277527 + ... + 1278185.

It is an arithmetic number, because the mean of its divisors is an integer number (11320155).

Almost surely, 2^842107104 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 842107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358418600).

842107104 is an abundant number, since it is smaller than the sum of its proper divisors (1874730096).

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

842107104 is a wasteful number, since it uses less digits than its factorization.

842107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 842107104 is about 29019.0817222048. The cubic root of 842107104 is about 944.3270795160.

The spelling of 842107104 in words is "eight hundred forty-two million, one hundred seven thousand, one hundred four".