10205883150 has 192 divisors, whose sum is σ = 27260540928. Its totient is φ = 2520770560.

The previous prime is 10205883109. The next prime is 10205883161. The reversal of 10205883150 is 5138850201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18322672 + ... + 18323228.

It is an arithmetic number, because the mean of its divisors is an integer number (141981984).

Almost surely, 2^10205883150 is an apocalyptic number.

10205883150 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 10205883150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13630270464).

10205883150 is an abundant number, since it is smaller than the sum of its proper divisors (17054657778).

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

10205883150 is a wasteful number, since it uses less digits than its factorization.

10205883150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 10205883150 in words is "ten billion, two hundred five million, eight hundred eighty-three thousand, one hundred fifty".