107817312 has 48 divisors (see below), whose sum is σ = 284506992. Its totient is φ = 35750400.

The previous prime is 107817289. The next prime is 107817319. The reversal of 107817312 is 213718701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107817312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107817319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16062 + ... + 21762.

It is an arithmetic number, because the mean of its divisors is an integer number (5927229).

Almost surely, 2^107817312 is an apocalyptic number.

107817312 is a gapful number since it is divisible by the number (12) 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 107817312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142253496).

107817312 is an abundant number, since it is smaller than the sum of its proper divisors (176689680).

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

107817312 is a wasteful number, since it uses less digits than its factorization.

107817312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 107817312 is about 10383.5115447521. The cubic root of 107817312 is about 475.9516463370.

The spelling of 107817312 in words is "one hundred seven million, eight hundred seventeen thousand, three hundred twelve".