107314217920 has 224 divisors, whose sum is σ = 320936112000. Its totient is φ = 33962729472.

The previous prime is 107314217837. The next prime is 107314217929. The reversal of 107314217920 is 29712413701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 107314217920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107314217929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389276 + ... + 1464484.

It is an arithmetic number, because the mean of its divisors is an integer number (1432750500).

Almost surely, 2^107314217920 is an apocalyptic number.

107314217920 is a gapful number since it is divisible by the number (10) 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 107314217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160468056000).

107314217920 is an abundant number, since it is smaller than the sum of its proper divisors (213621894080).

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

107314217920 is an equidigital number, since it uses as much as digits as its factorization.

107314217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75260 (or 75236 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 107314217920 in words is "one hundred seven billion, three hundred fourteen million, two hundred seventeen thousand, nine hundred twenty".