10210920 has 32 divisors (see below), whose sum is σ = 30633120. Its totient is φ = 2722880.

The previous prime is 10210901. The next prime is 10210939. The reversal of 10210920 is 2901201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210901) and next prime (10210939).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10210920.

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 7 ways as a sum of consecutive naturals, for example, 42426 + ... + 42665.

It is an arithmetic number, because the mean of its divisors is an integer number (957285).

Almost surely, 2^10210920 is an apocalyptic number.

10210920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210920 is an abundant number, since it is smaller than the sum of its proper divisors (20422200).

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

10210920 is a wasteful number, since it uses less digits than its factorization.

10210920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85105 (or 85101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10210920 is about 3195.4530195263. The cubic root of 10210920 is about 216.9476538493.

The spelling of 10210920 in words is "ten million, two hundred ten thousand, nine hundred twenty".