103199616 has 128 divisors (see below), whose sum is σ = 328154400. Its totient is φ = 31739904.

The previous prime is 103199611. The next prime is 103199633. The reversal of 103199616 is 616991301.

103199616 is a `hidden beast` number, since 1 + 0 + 31 + 9 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103199611) by changing a digit.

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, 43780 + ... + 46076.

Almost surely, 2^103199616 is an apocalyptic number.

103199616 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 103199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164077200).

103199616 is an abundant number, since it is smaller than the sum of its proper divisors (224954784).

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

103199616 is a wasteful number, since it uses less digits than its factorization.

103199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 103199616 is about 10158.7211793611. The cubic root of 103199616 is about 469.0574379973.

The spelling of 103199616 in words is "one hundred three million, one hundred ninety-nine thousand, six hundred sixteen".