107777608764 has 144 divisors (see below), whose sum is σ = 304404645888. Its totient is φ = 29569368192.

The previous prime is 107777608759. The next prime is 107777608769. The reversal of 107777608764 is 467806777701.

107777608764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107777608759) and next prime (107777608769).

It is a junction number, because it is equal to n+sod(n) for n = 107777608698 and 107777608707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107777608769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427917 + ... + 1501499.

It is an arithmetic number, because the mean of its divisors is an integer number (2113921152).

Almost surely, 2^107777608764 is an apocalyptic number.

107777608764 is a gapful number since it is divisible by the number (14) 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 107777608764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152202322944).

107777608764 is an abundant number, since it is smaller than the sum of its proper divisors (196627037124).

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

107777608764 is a wasteful number, since it uses less digits than its factorization.

107777608764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73704 (or 73695 counting only the distinct ones).

The product of its (nonzero) digits is 19361664, while the sum is 60.

The spelling of 107777608764 in words is "one hundred seven billion, seven hundred seventy-seven million, six hundred eight thousand, seven hundred sixty-four".