107318424900 has 72 divisors (see below), whose sum is σ = 310871040480. Its totient is φ = 28584784640.

The previous prime is 107318424887. The next prime is 107318424931. The reversal of 107318424900 is 9424813701.

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, 48391 + ... + 465809.

It is an arithmetic number, because the mean of its divisors is an integer number (4317653340).

Almost surely, 2^107318424900 is an apocalyptic number.

107318424900 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 107318424900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155435520240).

107318424900 is an abundant number, since it is smaller than the sum of its proper divisors (203552615580).

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

107318424900 is a wasteful number, since it uses less digits than its factorization.

107318424900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418293 (or 418286 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 107318424900 in words is "one hundred seven billion, three hundred eighteen million, four hundred twenty-four thousand, nine hundred".