103405312 has 36 divisors (see below), whose sum is σ = 209060320. Its totient is φ = 51038208.

The previous prime is 103405307. The next prime is 103405327. The reversal of 103405312 is 213504301.

It is a self number, because there is not a number n which added to its sum of digits gives 103405312.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 17668 + ... + 22780.

Almost surely, 2^103405312 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 103405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104530160).

103405312 is an abundant number, since it is smaller than the sum of its proper divisors (105655008).

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

103405312 is an frugal number, since it uses more digits than its factorization.

103405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 103405312 is about 10168.8402485239. The cubic root of 103405312 is about 469.3688707021.

Adding to 103405312 its reverse (213504301), we get a palindrome (316909613).

The spelling of 103405312 in words is "one hundred three million, four hundred five thousand, three hundred twelve".