1006681104 has 480 divisors, whose sum is σ = 3639767040. Its totient is φ = 255052800.

The previous prime is 1006681057. The next prime is 1006681133. The reversal of 1006681104 is 4011866001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12128647 + ... + 12128729.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^1006681104 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 1006681104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1006681104 is an abundant number, since it is smaller than the sum of its proper divisors (2633085936).

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

1006681104 is a wasteful number, since it uses less digits than its factorization.

1006681104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1006681104 is about 31728.2382744457. The cubic root of 1006681104 is about 1002.2220933106. Note that the first 3 decimals are identical.

The spelling of 1006681104 in words is "one billion, six million, six hundred eighty-one thousand, one hundred four".