107316468 has 96 divisors (see below), whose sum is σ = 324576000. Its totient is φ = 30651264.

The previous prime is 107316409. The next prime is 107316481. The reversal of 107316468 is 864613701.

107316468 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 1 + 646 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35596 + ... + 38492.

It is an arithmetic number, because the mean of its divisors is an integer number (3381000).

Almost surely, 2^107316468 is an apocalyptic number.

107316468 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 107316468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288000).

107316468 is an abundant number, since it is smaller than the sum of its proper divisors (217259532).

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

107316468 is a wasteful number, since it uses less digits than its factorization.

107316468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 107316468 is about 10359.3661968288. The cubic root of 107316468 is about 475.2135224700.

The spelling of 107316468 in words is "one hundred seven million, three hundred sixteen thousand, four hundred sixty-eight".