107037216 has 288 divisors, whose sum is σ = 376451712. Its totient is φ = 28385280.

The previous prime is 107037209. The next prime is 107037247. The reversal of 107037216 is 612730701.

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

It is a super-2 number, since 2×107037216² = 22913931218061312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107037216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947176 + ... + 947288.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^107037216 is an apocalyptic number.

107037216 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 107037216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

107037216 is an abundant number, since it is smaller than the sum of its proper divisors (269414496).

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

107037216 is a wasteful number, since it uses less digits than its factorization.

107037216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107037216 is about 10345.8791796541. The cubic root of 107037216 is about 474.8009744221.

Adding to 107037216 its reverse (612730701), we get a palindrome (719767917).

The spelling of 107037216 in words is "one hundred seven million, thirty-seven thousand, two hundred sixteen".