10206980 has 24 divisors (see below), whose sum is σ = 24497088. Its totient is φ = 3499488.

The previous prime is 10206949. The next prime is 10206983. The reversal of 10206980 is 8960201.

It is not an unprimeable number, because it can be changed into a prime (10206983) 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 7 ways as a sum of consecutive naturals, for example, 36314 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (1020712).

Almost surely, 2^10206980 is an apocalyptic number.

10206980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206980 is an abundant number, since it is smaller than the sum of its proper divisors (14290108).

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

10206980 is a wasteful number, since it uses less digits than its factorization.

10206980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72923 (or 72921 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10206980 is about 3194.8364590382. The cubic root of 10206980 is about 216.9197463502.

It can be divided in two parts, 1020 and 6980, that added together give a cube (8000 = 20³).

The spelling of 10206980 in words is "ten million, two hundred six thousand, nine hundred eighty".