10205700010 has 64 divisors (see below), whose sum is σ = 21291880320. Its totient is φ = 3486309120.

The previous prime is 10205699983. The next prime is 10205700013. The reversal of 10205700010 is 1000750201.

10205700010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10205700010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10205700013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74797 + ... + 161263.

It is an arithmetic number, because the mean of its divisors is an integer number (332685630).

Almost surely, 2^10205700010 is an apocalyptic number.

10205700010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205700010 is an abundant number, since it is smaller than the sum of its proper divisors (11086180310).

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

10205700010 is a wasteful number, since it uses less digits than its factorization.

10205700010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86551.

The product of its (nonzero) digits is 70, while the sum is 16.

The spelling of 10205700010 in words is "ten billion, two hundred five million, seven hundred thousand, ten".