107443032947712 has 1408 divisors, whose sum is σ = 402665350348800. Its totient is φ = 27490384281600.

The previous prime is 107443032947711. The next prime is 107443032947749. The reversal of 107443032947712 is 217749230344701.

107443032947712 is a `hidden beast` number, since 1 + 0 + 7 + 44 + 303 + 294 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107443032947711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81457946989 + ... + 81457948307.

It is an arithmetic number, because the mean of its divisors is an integer number (285983913600).

Almost surely, 2^{107443032947712} is an apocalyptic number.

107443032947712 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 107443032947712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201332675174400).

107443032947712 is an abundant number, since it is smaller than the sum of its proper divisors (295222317401088).

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

107443032947712 is a wasteful number, since it uses less digits than its factorization.

107443032947712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 107443032947712 in words is "one hundred seven trillion, four hundred forty-three billion, thirty-two million, nine hundred forty-seven thousand, seven hundred twelve".