103365312 has 112 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 32462848.

The previous prime is 103365307. The next prime is 103365337. The reversal of 103365312 is 213563301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 392893 + ... + 393155.

Almost surely, 2^103365312 is an apocalyptic number.

103365312 is a gapful number since it is divisible by the number (12) 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 103365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

103365312 is an abundant number, since it is smaller than the sum of its proper divisors (186316608).

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

103365312 is a wasteful number, since it uses less digits than its factorization.

103365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 103365312 is about 10166.8732656604. The cubic root of 103365312 is about 469.3083413287.

The spelling of 103365312 in words is "one hundred three million, three hundred sixty-five thousand, three hundred twelve".