202102920 has 96 divisors (see below), whose sum is σ = 666169920. Its totient is φ = 53128320.

The previous prime is 202102913. The next prime is 202102933. The reversal of 202102920 is 29201202.

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 = 202102893 and 202102902.

It is an unprimeable number.

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, 21607 + ... + 29513.

It is an arithmetic number, because the mean of its divisors is an integer number (6939270).

Almost surely, 2^202102920 is an apocalyptic number.

202102920 is a gapful number since it is divisible by the number (20) 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 202102920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333084960).

202102920 is an abundant number, since it is smaller than the sum of its proper divisors (464067000).

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

202102920 is a wasteful number, since it uses less digits than its factorization.

202102920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 202102920 is about 14216.2906554417. The cubic root of 202102920 is about 586.8460639954.

The spelling of 202102920 in words is "two hundred two million, one hundred two thousand, nine hundred twenty".