107666771097600 has 3456 divisors, whose sum is σ = 475768736352000. Its totient is φ = 23701546598400.

The previous prime is 107666771097569. The next prime is 107666771097601. The reversal of 107666771097600 is 6790177666701.

107666771097600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107666771097601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 145692518031 + ... + 145692518769.

Almost surely, 2^{107666771097600} is an apocalyptic number.

107666771097600 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 107666771097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237884368176000).

107666771097600 is an abundant number, since it is smaller than the sum of its proper divisors (368101965254400).

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

107666771097600 is a wasteful number, since it uses less digits than its factorization.

107666771097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 107666771097600 in words is "one hundred seven trillion, six hundred sixty-six billion, seven hundred seventy-one million, ninety-seven thousand, six hundred".