10205415045 has 32 divisors (see below), whose sum is σ = 20734813440. Its totient is φ = 4665332160.

The previous prime is 10205415029. The next prime is 10205415079. The reversal of 10205415045 is 54051450201.

10205415045 is a `hidden beast` number, since 1 + 0 + 205 + 415 + 0 + 45 = 666.

It is not a de Polignac number, because 10205415045 - 2⁴ = 10205415029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5398746 + ... + 5400635.

It is an arithmetic number, because the mean of its divisors is an integer number (647962920).

Almost surely, 2^10205415045 is an apocalyptic number.

10205415045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10205415045 is an abundant number, since it is smaller than the sum of its proper divisors (10529398395).

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

10205415045 is a wasteful number, since it uses less digits than its factorization.

10205415045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10799402 (or 10799396 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 10205415045 its reverse (54051450201), we get a palindrome (64256865246).

The spelling of 10205415045 in words is "ten billion, two hundred five million, four hundred fifteen thousand, forty-five".