107277754164 has 96 divisors (see below), whose sum is σ = 290681395200. Its totient is φ = 30158862720.

The previous prime is 107277754139. The next prime is 107277754169. The reversal of 107277754164 is 461457772701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107277754169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3018007 + ... + 3053345.

It is an arithmetic number, because the mean of its divisors is an integer number (3027931200).

Almost surely, 2^107277754164 is an apocalyptic number.

107277754164 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 107277754164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

107277754164 is an abundant number, since it is smaller than the sum of its proper divisors (183403641036).

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

107277754164 is a wasteful number, since it uses less digits than its factorization.

107277754164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35933 (or 35931 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 107277754164 in words is "one hundred seven billion, two hundred seventy-seven million, seven hundred fifty-four thousand, one hundred sixty-four".