1011050105016 has 128 divisors (see below), whose sum is σ = 2900195020800. Its totient is φ = 287725716480.

The previous prime is 1011050104969. The next prime is 1011050105041. The reversal of 1011050105016 is 6105010501101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1011050104983 and 1011050105001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44056441 + ... + 44079383.

It is an arithmetic number, because the mean of its divisors is an integer number (22657773600).

Almost surely, 2^{1011050105016} 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 1011050105016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450097510400).

1011050105016 is an abundant number, since it is smaller than the sum of its proper divisors (1889144915784).

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

1011050105016 is a wasteful number, since it uses less digits than its factorization.

1011050105016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23989 (or 23985 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 1011050105016 its reverse (6105010501101), we get a palindrome (7116060606117).

The spelling of 1011050105016 in words is "one trillion, eleven billion, fifty million, one hundred five thousand, sixteen".