103213120 has 56 divisors (see below), whose sum is σ = 260247384. Its totient is φ = 38854656.

The previous prime is 103213109. The next prime is 103213127. The reversal of 103213120 is 21312301.

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 87909376 = 3912^2 + 9376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103213120.

It is not an unprimeable number, because it can be changed into a prime (103213127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4047 + ... + 14926.

Almost surely, 2^103213120 is an apocalyptic number.

103213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213120 is an abundant number, since it is smaller than the sum of its proper divisors (157034264).

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

103213120 is a wasteful number, since it uses less digits than its factorization.

103213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007 (or 18997 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 103213120 is about 10159.3858082071. The cubic root of 103213120 is about 469.0778963272.

Adding to 103213120 its reverse (21312301), we get a palindrome (124525421).

The spelling of 103213120 in words is "one hundred three million, two hundred thirteen thousand, one hundred twenty".