107427735300 has 144 divisors (see below), whose sum is σ = 324521229312. Its totient is φ = 27386409600.

The previous prime is 107427735293. The next prime is 107427735301. The reversal of 107427735300 is 3537724701.

It is not an unprimeable number, because it can be changed into a prime (107427735301) 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, 17019145 + ... + 17025455.

It is an arithmetic number, because the mean of its divisors is an integer number (2253619648).

Almost surely, 2^107427735300 is an apocalyptic number.

107427735300 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 107427735300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162260614656).

107427735300 is an abundant number, since it is smaller than the sum of its proper divisors (217093494012).

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

107427735300 is a wasteful number, since it uses less digits than its factorization.

107427735300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8811 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 107427735300 in words is "one hundred seven billion, four hundred twenty-seven million, seven hundred thirty-five thousand, three hundred".