10205051314350 has 24 divisors (see below), whose sum is σ = 25308527259960. Its totient is φ = 2721347017120.

The previous prime is 10205051314321. The next prime is 10205051314369. The reversal of 10205051314350 is 5341315050201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34016837565 + ... + 34016837864.

It is an arithmetic number, because the mean of its divisors is an integer number (1054521969165).

Almost surely, 2^{10205051314350} is an apocalyptic number.

10205051314350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205051314350 is an abundant number, since it is smaller than the sum of its proper divisors (15103475945610).

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

10205051314350 is a wasteful number, since it uses less digits than its factorization.

10205051314350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68033675444 (or 68033675439 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 10205051314350 its reverse (5341315050201), we get a palindrome (15546366364551).

The spelling of 10205051314350 in words is "ten trillion, two hundred five billion, fifty-one million, three hundred fourteen thousand, three hundred fifty".