103935312 has 200 divisors, whose sum is σ = 336089600. Its totient is φ = 30792960.

The previous prime is 103935311. The next prime is 103935317. The reversal of 103935312 is 213539301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103935311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522189 + ... + 522387.

It is an arithmetic number, because the mean of its divisors is an integer number (1680448).

Almost surely, 2^103935312 is an apocalyptic number.

103935312 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 103935312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168044800).

103935312 is an abundant number, since it is smaller than the sum of its proper divisors (232154288).

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

103935312 is a wasteful number, since it uses less digits than its factorization.

103935312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103935312 is about 10194.8669437124. The cubic root of 103935312 is about 470.1694153100.

The spelling of 103935312 in words is "one hundred three million, nine hundred thirty-five thousand, three hundred twelve".