1006711104 has 224 divisors, whose sum is σ = 3288913920. Its totient is φ = 265402368.

The previous prime is 1006711103. The next prime is 1006711109. The reversal of 1006711104 is 4011176001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006711103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895887 + ... + 897009.

Almost surely, 2^1006711104 is an apocalyptic number.

1006711104 is a gapful number since it is divisible by the number (14) 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 1006711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644456960).

1006711104 is an abundant number, since it is smaller than the sum of its proper divisors (2282202816).

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

1006711104 is a wasteful number, since it uses less digits than its factorization.

1006711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 1006711104 is about 31728.7110359056. The cubic root of 1006711104 is about 1002.2320489176.

Adding to 1006711104 its reverse (4011176001), we get a palindrome (5017887105).

The spelling of 1006711104 in words is "one billion, six million, seven hundred eleven thousand, one hundred four".