107352672768 has 960 divisors, whose sum is σ = 386075289600. Its totient is φ = 28293857280.

The previous prime is 107352672767. The next prime is 107352672769. The reversal of 107352672768 is 867276253701.

It is a happy number.

107352672768 is a `hidden beast` number, since 10 + 7 + 352 + 6 + 7 + 276 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (107352672767) and next prime (107352672769).

It is not an unprimeable number, because it can be changed into a prime (107352672761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1293405655 + ... + 1293405737.

It is an arithmetic number, because the mean of its divisors is an integer number (402161760).

Almost surely, 2^107352672768 is an apocalyptic number.

107352672768 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 107352672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193037644800).

107352672768 is an abundant number, since it is smaller than the sum of its proper divisors (278722616832).

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

107352672768 is a wasteful number, since it uses less digits than its factorization.

107352672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 107352672768 in words is "one hundred seven billion, three hundred fifty-two million, six hundred seventy-two thousand, seven hundred sixty-eight".