10213920 has 144 divisors (see below), whose sum is σ = 35911512. Its totient is φ = 2641920.

The previous prime is 10213891. The next prime is 10213927. The reversal of 10213920 is 2931201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 2396304 = 2796^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213893 and 10213902.

It is not an unprimeable number, because it can be changed into a prime (10213927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58954 + ... + 59126.

Almost surely, 2^10213920 is an apocalyptic number.

10213920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955756).

10213920 is an abundant number, since it is smaller than the sum of its proper divisors (25697592).

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

10213920 is a wasteful number, since it uses less digits than its factorization.

10213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10213920 is about 3195.9224020617. The cubic root of 10213920 is about 216.9688984003.

The spelling of 10213920 in words is "ten million, two hundred thirteen thousand, nine hundred twenty".