107423138592 has 288 divisors, whose sum is σ = 386233795584. Its totient is φ = 27508723200.

The previous prime is 107423138569. The next prime is 107423138597. The reversal of 107423138592 is 295831324701.

It is a happy number.

107423138592 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 23 + 1 + 38 + 592 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (107423138597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540383 + ... + 1608609.

It is an arithmetic number, because the mean of its divisors is an integer number (1341089568).

Almost surely, 2^107423138592 is an apocalyptic number.

107423138592 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 107423138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193116897792).

107423138592 is an abundant number, since it is smaller than the sum of its proper divisors (278810656992).

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

107423138592 is a wasteful number, since it uses less digits than its factorization.

107423138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68332 (or 68321 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107423138592 in words is "one hundred seven billion, four hundred twenty-three million, one hundred thirty-eight thousand, five hundred ninety-two".