1001105061008 has 80 divisors (see below), whose sum is σ = 2152171470960. Its totient is φ = 448236552192.

The previous prime is 1001105061001. The next prime is 1001105061013. The reversal of 1001105061008 is 8001605011001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21583135744 + 979521925264 = 146912^2 + 989708^2 .

It is a super-2 number, since 2×1001105061008² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001105061001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470960 + ... + 1491312.

It is an arithmetic number, because the mean of its divisors is an integer number (26902143387).

Almost surely, 2^{1001105061008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001105061008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076085735480).

1001105061008 is an abundant number, since it is smaller than the sum of its proper divisors (1151066409952).

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

1001105061008 is a wasteful number, since it uses less digits than its factorization.

1001105061008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020516 (or 1020510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

The spelling of 1001105061008 in words is "one trillion, one billion, one hundred five million, sixty-one thousand, eight".