10219880 has 32 divisors (see below), whose sum is σ = 25086240. Its totient is φ = 3716160.

The previous prime is 10219877. The next prime is 10219883. The reversal of 10219880 is 8891201.

It is an interprime number because it is at equal distance from previous prime (10219877) and next prime (10219883).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10219883) 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, 11174 + ... + 12053.

It is an arithmetic number, because the mean of its divisors is an integer number (783945).

Almost surely, 2^10219880 is an apocalyptic number.

10219880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10219880 is an abundant number, since it is smaller than the sum of its proper divisors (14866360).

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

10219880 is a wasteful number, since it uses less digits than its factorization.

10219880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23249 (or 23245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 10219880 is about 3196.8547042367. The cubic root of 10219880 is about 217.0110919033.

It can be divided in two parts, 1021 and 9880, that added together give a palindrome (10901).

The spelling of 10219880 in words is "ten million, two hundred nineteen thousand, eight hundred eighty".