107111061575300 has 144 divisors (see below), whose sum is σ = 250780900995072. Its totient is φ = 39563540582400.

The previous prime is 107111061575269. The next prime is 107111061575321. The reversal of 107111061575300 is 3575160111701.

It is a super-2 number, since 2×107111061575300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21443669 + ... + 25962531.

It is an arithmetic number, because the mean of its divisors is an integer number (1741534034688).

Almost surely, 2^{107111061575300} is an apocalyptic number.

107111061575300 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 107111061575300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125390450497536).

107111061575300 is an abundant number, since it is smaller than the sum of its proper divisors (143669839419772).

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

107111061575300 is a wasteful number, since it uses less digits than its factorization.

107111061575300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519158 (or 4519151 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 38.

The spelling of 107111061575300 in words is "one hundred seven trillion, one hundred eleven billion, sixty-one million, five hundred seventy-five thousand, three hundred".