107716896 has 216 divisors, whose sum is σ = 378132300. Its totient is φ = 28901376.

The previous prime is 107716867. The next prime is 107716897. The reversal of 107716896 is 698617701.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 4410000 = 10164^2 + 2100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107716897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239680 + ... + 240128.

Almost surely, 2^107716896 is an apocalyptic number.

107716896 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 107716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189066150).

107716896 is an abundant number, since it is smaller than the sum of its proper divisors (270415404).

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

107716896 is a wasteful number, since it uses less digits than its factorization.

107716896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 107716896 is about 10378.6750599486. The cubic root of 107716896 is about 475.8038407426.

It can be divided in two parts, 107 and 716896, that added together give a triangular number (717003 = T₁₁₉₇).

The spelling of 107716896 in words is "one hundred seven million, seven hundred sixteen thousand, eight hundred ninety-six".