107442097920 has 576 divisors, whose sum is σ = 393185802240. Its totient is φ = 27766996992.

The previous prime is 107442097909. The next prime is 107442097927. The reversal of 107442097920 is 29790244701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107442097927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292757577 + ... + 292757943.

It is an arithmetic number, because the mean of its divisors is an integer number (682614240).

Almost surely, 2^107442097920 is an apocalyptic number.

107442097920 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 107442097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196592901120).

107442097920 is an abundant number, since it is smaller than the sum of its proper divisors (285743704320).

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

107442097920 is a wasteful number, since it uses less digits than its factorization.

107442097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 107442097920 in words is "one hundred seven billion, four hundred forty-two million, ninety-seven thousand, nine hundred twenty".