10201920 has 56 divisors (see below), whose sum is σ = 32394144. Its totient is φ = 2720256.

The previous prime is 10201901. The next prime is 10201927. The reversal of 10201920 is 2910201.

It is a happy number.

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 10201920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201927) 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 7 ways as a sum of consecutive naturals, for example, 4354 + ... + 6273.

Almost surely, 2^10201920 is an apocalyptic number.

10201920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201920 is an abundant number, since it is smaller than the sum of its proper divisors (22192224).

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

10201920 is a wasteful number, since it uses less digits than its factorization.

10201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10637 counting only the distinct ones).

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

The square root of 10201920 is about 3194.0444580500. The cubic root of 10201920 is about 216.8838952188.

It can be divided in two parts, 10 and 201920, that added together give a triangular number (201930 = T₆₃₅).

The spelling of 10201920 in words is "ten million, two hundred one thousand, nine hundred twenty".