10205522145 has 72 divisors (see below), whose sum is σ = 21891519936. Its totient is φ = 4306483584.

The previous prime is 10205522099. The next prime is 10205522191. The reversal of 10205522145 is 54122550201.

10205522145 is a `hidden beast` number, since 102 + 0 + 552 + 2 + 1 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10205522099) and next prime (10205522191).

It is not a de Polignac number, because 10205522145 - 2¹⁰ = 10205521121 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42619 + ... + 149088.

It is an arithmetic number, because the mean of its divisors is an integer number (304048888).

Almost surely, 2^10205522145 is an apocalyptic number.

10205522145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10205522145 is an abundant number, since it is smaller than the sum of its proper divisors (11685997791).

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

10205522145 is a wasteful number, since it uses less digits than its factorization.

10205522145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191751 (or 191735 counting only the distinct ones).

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

The spelling of 10205522145 in words is "ten billion, two hundred five million, five hundred twenty-two thousand, one hundred forty-five".