107313444000 has 1536 divisors, whose sum is σ = 487091404800. Its totient is φ = 22394880000.

The previous prime is 107313443989. The next prime is 107313444037. The reversal of 107313444000 is 444313701.

It is a super-2 number, since 2×107313444000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 445283880 + ... + 445284120.

It is an arithmetic number, because the mean of its divisors is an integer number (317116800).

Almost surely, 2^107313444000 is an apocalyptic number.

107313444000 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 107313444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243545702400).

107313444000 is an abundant number, since it is smaller than the sum of its proper divisors (379777960800).

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

107313444000 is a wasteful number, since it uses less digits than its factorization.

107313444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 107313444000 its reverse (444313701), we get a palindrome (107757757701).

The spelling of 107313444000 in words is "one hundred seven billion, three hundred thirteen million, four hundred forty-four thousand".