107347968 has 216 divisors, whose sum is σ = 381680208. Its totient is φ = 28311552.

The previous prime is 107347943. The next prime is 107347997. The reversal of 107347968 is 869743701.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8257530 + ... + 8257542.

It is an arithmetic number, because the mean of its divisors is an integer number (1767038).

Almost surely, 2^107347968 is an apocalyptic number.

107347968 is a gapful number since it is divisible by the number (18) 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 107347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190840104).

107347968 is an abundant number, since it is smaller than the sum of its proper divisors (274332240).

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

107347968 is an frugal number, since it uses more digits than its factorization.

107347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 107347968 is about 10360.8864485622. The cubic root of 107347968 is about 475.2600135068.

The spelling of 107347968 in words is "one hundred seven million, three hundred forty-seven thousand, nine hundred sixty-eight".