31104216 has 256 divisors, whose sum is σ = 108864000. Its totient is φ = 8087040.

The previous prime is 31104193. The next prime is 31104223. The reversal of 31104216 is 61240113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586846 + ... + 586898.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 2^31104216 is an apocalyptic number.

31104216 is a gapful number since it is divisible by the number (36) 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 31104216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

31104216 is an abundant number, since it is smaller than the sum of its proper divisors (77759784).

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

31104216 is a wasteful number, since it uses less digits than its factorization.

31104216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31104216 is about 5577.1153834218. The cubic root of 31104216 is about 314.4896952871.

Adding to 31104216 its reverse (61240113), we get a palindrome (92344329).

It can be divided in two parts, 31104 and 216, that multiplied together give a square (6718464 = 2592²).

The spelling of 31104216 in words is "thirty-one million, one hundred four thousand, two hundred sixteen".