1005105060 has 72 divisors (see below), whose sum is σ = 3181389120. Its totient is φ = 256373568.

The previous prime is 1005104977. The next prime is 1005105067. The reversal of 1005105060 is 605015001.

1005105060 is a `hidden beast` number, since 100 + 510 + 50 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1005105067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117250 + ... + 125529.

It is an arithmetic number, because the mean of its divisors is an integer number (44185960).

Almost surely, 2^1005105060 is an apocalyptic number.

1005105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005105060 is an abundant number, since it is smaller than the sum of its proper divisors (2176284060).

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

1005105060 is a wasteful number, since it uses less digits than its factorization.

1005105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242817 (or 242812 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005105060 is about 31703.3919320946. The cubic root of 1005105060 is about 1001.6987991140.

It can be divided in two parts, 100510 and 5060, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 1005105060 in words is "one billion, five million, one hundred five thousand, sixty".