103213312 has 36 divisors (see below), whose sum is σ = 207190060. Its totient is φ = 51314688.

The previous prime is 103213303. The next prime is 103213321. The reversal of 103213312 is 213312301.

It is an interprime number because it is at equal distance from previous prime (103213303) and next prime (103213321).

It can be written as a sum of positive squares in 2 ways, for example, as 59969536 + 43243776 = 7744^2 + 6576^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48364 + ... + 50452.

Almost surely, 2^103213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103595030).

103213312 is an abundant number, since it is smaller than the sum of its proper divisors (103976748).

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

103213312 is an equidigital number, since it uses as much as digits as its factorization.

103213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 103213312 is about 10159.3952575928. The cubic root of 103213312 is about 469.0781871911.

Adding to 103213312 its reverse (213312301), we get a palindrome (316525613).

The spelling of 103213312 in words is "one hundred three million, two hundred thirteen thousand, three hundred twelve".