1005100605060 has 96 divisors (see below), whose sum is σ = 2842053685632. Its totient is φ = 265386670080.

The previous prime is 1005100605013. The next prime is 1005100605101. The reversal of 1005100605060 is 605060015001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005100605060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6685315 + ... + 6834005.

It is an arithmetic number, because the mean of its divisors is an integer number (29604725892).

Almost surely, 2^{1005100605060} is an apocalyptic number.

1005100605060 is a gapful number since it is divisible by the number (10) 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 1005100605060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421026842816).

1005100605060 is an abundant number, since it is smaller than the sum of its proper divisors (1836953080572).

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

1005100605060 is a wasteful number, since it uses less digits than its factorization.

1005100605060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149813 (or 149811 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 1005100605060 in words is "one trillion, five billion, one hundred million, six hundred five thousand, sixty".