103612016 has 40 divisors (see below), whose sum is σ = 214510080. Its totient is φ = 48337344.

The previous prime is 103612009. The next prime is 103612027. The reversal of 103612016 is 610216301.

It is a super-3 number, since 3×103612016³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17825 + ... + 22911.

It is an arithmetic number, because the mean of its divisors is an integer number (5362752).

Almost surely, 2^103612016 is an apocalyptic number.

103612016 is a gapful number since it is divisible by the number (16) 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 103612016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107255040).

103612016 is an abundant number, since it is smaller than the sum of its proper divisors (110898064).

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

103612016 is a wasteful number, since it uses less digits than its factorization.

103612016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 103612016 is about 10178.9987719815. The cubic root of 103612016 is about 469.6814137941.

Adding to 103612016 its reverse (610216301), we get a palindrome (713828317).

The spelling of 103612016 in words is "one hundred three million, six hundred twelve thousand, sixteen".