1005060096 has 160 divisors (see below), whose sum is σ = 3019896000. Its totient is φ = 330301440.

The previous prime is 1005060073. The next prime is 1005060097. The reversal of 1005060096 is 6900605001.

1005060096 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 600 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005060097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14155741 + ... + 14155811.

It is an arithmetic number, because the mean of its divisors is an integer number (18874350).

Almost surely, 2^1005060096 is an apocalyptic number.

1005060096 is a gapful number since it is divisible by the number (16) 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 1005060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509948000).

1005060096 is an abundant number, since it is smaller than the sum of its proper divisors (2014835904).

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

1005060096 is an frugal number, since it uses more digits than its factorization.

1005060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1005060096 is about 31702.6827886853. The cubic root of 1005060096 is about 1001.6838616850.

Adding to 1005060096 its reverse (6900605001), we get a palindrome (7905665097).

The spelling of 1005060096 in words is "one billion, five million, sixty thousand, ninety-six".