1050006061104 has 480 divisors, whose sum is σ = 3761045420544. Its totient is φ = 244940267520.

The previous prime is 1050006061019. The next prime is 1050006061127. The reversal of 1050006061104 is 4011606000501.

It is a super-2 number, since 2×1050006061104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 23088372 + ... + 23133804.

Almost surely, 2^{1050006061104} is an apocalyptic number.

1050006061104 is a gapful number since it is divisible by the number (14) 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 1050006061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880522710272).

1050006061104 is an abundant number, since it is smaller than the sum of its proper divisors (2711039359440).

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

1050006061104 is a wasteful number, since it uses less digits than its factorization.

1050006061104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45525 (or 45506 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1050006061104 in words is "one trillion, fifty billion, six million, sixty-one thousand, one hundred four".