107442720000 has 2880 divisors, whose sum is σ = 551703398400. Its totient is φ = 19906560000.

The previous prime is 107442719977. The next prime is 107442720013. The reversal of 107442720000 is 27244701.

It is a happy number.

107442720000 is a `hidden beast` number, since 10 + 7 + 442 + 7 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5654879991 + ... + 5654880009.

It is an arithmetic number, because the mean of its divisors is an integer number (191563680).

Almost surely, 2^107442720000 is an apocalyptic number.

107442720000 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 107442720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275851699200).

107442720000 is an abundant number, since it is smaller than the sum of its proper divisors (444260678400).

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

107442720000 is a wasteful number, since it uses less digits than its factorization.

107442720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 107442720000 its reverse (27244701), we get a palindrome (107469964701).

The spelling of 107442720000 in words is "one hundred seven billion, four hundred forty-two million, seven hundred twenty thousand".