10205541800 has 48 divisors (see below), whose sum is σ = 23860526400. Its totient is φ = 4059396800.

The previous prime is 10205541799. The next prime is 10205541803. The reversal of 10205541800 is 814550201.

It is a self number, because there is not a number n which added to its sum of digits gives 10205541800.

It is not an unprimeable number, because it can be changed into a prime (10205541803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106736 + ... + 178335.

It is an arithmetic number, because the mean of its divisors is an integer number (497094300).

Almost surely, 2^10205541800 is an apocalyptic number.

10205541800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205541800 is an abundant number, since it is smaller than the sum of its proper divisors (13654984600).

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

10205541800 is a wasteful number, since it uses less digits than its factorization.

10205541800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285266 (or 285257 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 10205541800 in words is "ten billion, two hundred five million, five hundred forty-one thousand, eight hundred".