107287714408 has 96 divisors (see below), whose sum is σ = 247903597440. Its totient is φ = 43252876800.

The previous prime is 107287714397. The next prime is 107287714423. The reversal of 107287714408 is 804417782701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18996241 + ... + 19001887.

It is an arithmetic number, because the mean of its divisors is an integer number (2582329140).

Almost surely, 2^107287714408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107287714408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123951798720).

107287714408 is an abundant number, since it is smaller than the sum of its proper divisors (140615883032).

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

107287714408 is a wasteful number, since it uses less digits than its factorization.

107287714408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 49.

The spelling of 107287714408 in words is "one hundred seven billion, two hundred eighty-seven million, seven hundred fourteen thousand, four hundred eight".