10205949080 has 16 divisors (see below), whose sum is σ = 22963385520. Its totient is φ = 4082379616.

The previous prime is 10205949071. The next prime is 10205949119. The reversal of 10205949080 is 8094950201.

It is a super-2 number, since 2×10205949080² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 127574324 + ... + 127574403.

It is an arithmetic number, because the mean of its divisors is an integer number (1435211595).

Almost surely, 2^10205949080 is an apocalyptic number.

10205949080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205949080 is an abundant number, since it is smaller than the sum of its proper divisors (12757436440).

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

10205949080 is a wasteful number, since it uses less digits than its factorization.

10205949080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255148738 (or 255148734 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 10205949080 in words is "ten billion, two hundred five million, nine hundred forty-nine thousand, eighty".