107471344032 has 288 divisors, whose sum is σ = 352147461120. Its totient is φ = 30812866560.

The previous prime is 107471343989. The next prime is 107471344049. The reversal of 107471344032 is 230443174701.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4326913 + ... + 4351679.

It is an arithmetic number, because the mean of its divisors is an integer number (1222734240).

Almost surely, 2^107471344032 is an apocalyptic number.

107471344032 is a gapful number since it is divisible by the number (12) 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 107471344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176073730560).

107471344032 is an abundant number, since it is smaller than the sum of its proper divisors (244676117088).

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

107471344032 is a wasteful number, since it uses less digits than its factorization.

107471344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24876 (or 24865 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 107471344032 in words is "one hundred seven billion, four hundred seventy-one million, three hundred forty-four thousand, thirty-two".