1006424104 has 64 divisors (see below), whose sum is σ = 2201385600. Its totient is φ = 422467584.

The previous prime is 1006424093. The next prime is 1006424119. The reversal of 1006424104 is 4014246001.

It is a super-2 number, since 2×1006424104² = 2025778954224405632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562299 + ... + 564085.

It is an arithmetic number, because the mean of its divisors is an integer number (34396650).

Almost surely, 2^1006424104 is an apocalyptic number.

1006424104 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 1006424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100692800).

1006424104 is an abundant number, since it is smaller than the sum of its proper divisors (1194961496).

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

1006424104 is a wasteful number, since it uses less digits than its factorization.

1006424104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1006424104 is about 31724.1879959125. The cubic root of 1006424104 is about 1002.1367988386.

The spelling of 1006424104 in words is "one billion, six million, four hundred twenty-four thousand, one hundred four".