107321149440 has 288 divisors, whose sum is σ = 373786358400. Its totient is φ = 28478177280.

The previous prime is 107321149423. The next prime is 107321149457. The reversal of 107321149440 is 44941123701.

107321149440 is a `hidden beast` number, since 1 + 0 + 73 + 2 + 1 + 149 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (107321149423) and next prime (107321149457).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107321149395 and 107321149404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19443001 + ... + 19448519.

It is an arithmetic number, because the mean of its divisors is an integer number (1297869300).

Almost surely, 2^107321149440 is an apocalyptic number.

107321149440 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 107321149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186893179200).

107321149440 is an abundant number, since it is smaller than the sum of its proper divisors (266465208960).

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

107321149440 is a wasteful number, since it uses less digits than its factorization.

107321149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 107321149440 in words is "one hundred seven billion, three hundred twenty-one million, one hundred forty-nine thousand, four hundred forty".