1041007104 has 240 divisors, whose sum is σ = 3237402168. Its totient is φ = 320864256.

The previous prime is 1041007061. The next prime is 1041007127. The reversal of 1041007104 is 4017001401.

It can be written as a sum of positive squares in 4 ways, for example, as 988473600 + 52533504 = 31440^2 + 7248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7598524 + ... + 7598660.

Almost surely, 2^1041007104 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 1041007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618701084).

1041007104 is an abundant number, since it is smaller than the sum of its proper divisors (2196395064).

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

1041007104 is a wasteful number, since it uses less digits than its factorization.

1041007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1041007104 is about 32264.6416995447. The cubic root of 1041007104 is about 1013.4863357768.

Adding to 1041007104 its reverse (4017001401), we get a palindrome (5058008505).

The spelling of 1041007104 in words is "one billion, forty-one million, seven thousand, one hundred four".