103631616 has 288 divisors, whose sum is σ = 353203200. Its totient is φ = 29675520.

The previous prime is 103631579. The next prime is 103631617. The reversal of 103631616 is 616136301.

It is a happy number.

103631616 is a `hidden beast` number, since 10 + 3 + 6 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×103631616³ (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103631616.

It is not an unprimeable number, because it can be changed into a prime (103631617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204905 + ... + 2204951.

It is an arithmetic number, because the mean of its divisors is an integer number (1226400).

Almost surely, 2^103631616 is an apocalyptic number.

103631616 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 103631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

103631616 is an abundant number, since it is smaller than the sum of its proper divisors (249571584).

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

103631616 is a wasteful number, since it uses less digits than its factorization.

103631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 103631616 is about 10179.9614930509. The cubic root of 103631616 is about 469.7110280404.

Adding to 103631616 its reverse (616136301), we get a palindrome (719767917).

The spelling of 103631616 in words is "one hundred three million, six hundred thirty-one thousand, six hundred sixteen".