1006105501050 has 192 divisors, whose sum is σ = 2775287370240. Its totient is φ = 239634420480.

The previous prime is 1006105500997. The next prime is 1006105501057. The reversal of 1006105501050 is 501055016001.

It is a super-2 number, since 2×1006105501050² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006105501050.

It is not an unprimeable number, because it can be changed into a prime (1006105501057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8915881 + ... + 9028019.

It is an arithmetic number, because the mean of its divisors is an integer number (14454621720).

Almost surely, 2^{1006105501050} is an apocalyptic number.

1006105501050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006105501050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387643685120).

1006105501050 is an abundant number, since it is smaller than the sum of its proper divisors (1769181869190).

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

1006105501050 is a wasteful number, since it uses less digits than its factorization.

1006105501050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112317 (or 112312 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1006105501050 in words is "one trillion, six billion, one hundred five million, five hundred one thousand, fifty".