103355616 has 96 divisors (see below), whose sum is σ = 333946368. Its totient is φ = 27256320.

The previous prime is 103355599. The next prime is 103355633. The reversal of 103355616 is 616553301.

It is an interprime number because it is at equal distance from previous prime (103355599) and next prime (103355633).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (3478608).

Almost surely, 2^103355616 is an apocalyptic number.

103355616 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 103355616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166973184).

103355616 is an abundant number, since it is smaller than the sum of its proper divisors (230590752).

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

103355616 is a wasteful number, since it uses less digits than its factorization.

103355616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 103355616 is about 10166.3964117085. The cubic root of 103355616 is about 469.2936666573.

It can be divided in two parts, 10335 and 5616, that added together give a palindrome (15951).

The spelling of 103355616 in words is "one hundred three million, three hundred fifty-five thousand, six hundred sixteen".