10205123610 has 64 divisors (see below), whose sum is σ = 26978365440. Its totient is φ = 2449942080.

The previous prime is 10205123603. The next prime is 10205123657. The reversal of 10205123610 is 1632150201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116130 + ... + 184109.

It is an arithmetic number, because the mean of its divisors is an integer number (421536960).

Almost surely, 2^10205123610 is an apocalyptic number.

10205123610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205123610 is an abundant number, since it is smaller than the sum of its proper divisors (16773241830).

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

10205123610 is a wasteful number, since it uses less digits than its factorization.

10205123610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300363.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10205123610 its reverse (1632150201), we get a palindrome (11837273811).

The spelling of 10205123610 in words is "ten billion, two hundred five million, one hundred twenty-three thousand, six hundred ten".