1005105180 has 48 divisors (see below), whose sum is σ = 2816261280. Its totient is φ = 267840768.

The previous prime is 1005105137. The next prime is 1005105191. The reversal of 1005105180 is 815015001.

1005105180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 95122 + ... + 105158.

It is an arithmetic number, because the mean of its divisors is an integer number (58672110).

Almost surely, 2^1005105180 is an apocalyptic number.

1005105180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005105180 is an abundant number, since it is smaller than the sum of its proper divisors (1811156100).

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

1005105180 is a wasteful number, since it uses less digits than its factorization.

1005105180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 1005105180 is about 31703.3938246365. The cubic root of 1005105180 is about 1001.6988389785.

The spelling of 1005105180 in words is "one billion, five million, one hundred five thousand, one hundred eighty".