10202320 has 20 divisors (see below), whose sum is σ = 23720580. Its totient is φ = 4080896.

The previous prime is 10202293. The next prime is 10202321. The reversal of 10202320 is 2320201.

10202320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4032064 + 6170256 = 2008^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10202297 and 10202306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63685 + ... + 63844.

It is an arithmetic number, because the mean of its divisors is an integer number (1186029).

Almost surely, 2^10202320 is an apocalyptic number.

10202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202320 is an abundant number, since it is smaller than the sum of its proper divisors (13518260).

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

10202320 is a wasteful number, since it uses less digits than its factorization.

10202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127542 (or 127536 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10202320 is about 3194.1070739723. The cubic root of 10202320 is about 216.8867297318.

Adding to 10202320 its reverse (2320201), we get a palindrome (12522521).

It can be divided in two parts, 1020 and 2320, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 10202320 in words is "ten million, two hundred two thousand, three hundred twenty".