107361842688 has 600 divisors, whose sum is σ = 345538759104. Its totient is φ = 33144422400.

The previous prime is 107361842683. The next prime is 107361842699. The reversal of 107361842688 is 886248163701.

107361842688 is a `hidden beast` number, since 10 + 7 + 3 + 618 + 4 + 2 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107361842683) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1760030178 + ... + 1760030238.

Almost surely, 2^107361842688 is an apocalyptic number.

107361842688 is a gapful number since it is divisible by the number (18) 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 107361842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172769379552).

107361842688 is an abundant number, since it is smaller than the sum of its proper divisors (238176916416).

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

107361842688 is an frugal number, since it uses more digits than its factorization.

107361842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 107361842688 in words is "one hundred seven billion, three hundred sixty-one million, eight hundred forty-two thousand, six hundred eighty-eight".