107764318142208 has 1296 divisors, whose sum is σ = 411627935287296. Its totient is φ = 27503958343680.

The previous prime is 107764318142207. The next prime is 107764318142219. The reversal of 107764318142208 is 802241813467701.

107764318142208 is a `hidden beast` number, since 1 + 0 + 7 + 76 + 431 + 81 + 42 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×107764318142208² (a number of 29 digits) contains 22 as substring.

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 (107764318142207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2281330366 + ... + 2281377602.

Almost surely, 2^{107764318142208} is an apocalyptic number.

107764318142208 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 107764318142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205813967643648).

107764318142208 is an abundant number, since it is smaller than the sum of its proper divisors (303863617145088).

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

107764318142208 is an equidigital number, since it uses as much as digits as its factorization.

107764318142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47332 (or 47293 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 107764318142208 in words is "one hundred seven trillion, seven hundred sixty-four billion, three hundred eighteen million, one hundred forty-two thousand, two hundred eight".