6100105050 has 288 divisors, whose sum is σ = 18724895280. Its totient is φ = 1412812800.

The previous prime is 6100105031. The next prime is 6100105051. The reversal of 6100105050 is 505010016.

6100105050 is a `hidden beast` number, since 610 + 0 + 1 + 0 + 5 + 0 + 50 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1006856361 + 5093248689 = 31731^2 + 71367^2 .

It is a super-2 number, since 2×6100105050² = 74422563242071005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6100105051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6955212 + ... + 6956088.

Almost surely, 2^6100105050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100105050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362447640).

6100105050 is an abundant number, since it is smaller than the sum of its proper divisors (12624790230).

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

6100105050 is a wasteful number, since it uses less digits than its factorization.

6100105050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 6100105050 is about 78103.1692698830. The cubic root of 6100105050 is about 1827.1706255013.

Adding to 6100105050 its reverse (505010016), we get a palindrome (6605115066).

The spelling of 6100105050 in words is "six billion, one hundred million, one hundred five thousand, fifty".