107848701020160 has 768 divisors, whose sum is σ = 406089359020800. Its totient is φ = 27056585834496.

The previous prime is 107848701020129. The next prime is 107848701020191. The reversal of 107848701020160 is 61020107848701.

107848701020160 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 487 + 0 + 1 + 0 + 2 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (107848701020129) and next prime (107848701020191).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21117816327 + ... + 21117821433.

It is an arithmetic number, because the mean of its divisors is an integer number (528762186225).

Almost surely, 2^{107848701020160} is an apocalyptic number.

107848701020160 is a gapful number since it is divisible by the number (10) 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 107848701020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203044679510400).

107848701020160 is an abundant number, since it is smaller than the sum of its proper divisors (298240658000640).

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

107848701020160 is a wasteful number, since it uses less digits than its factorization.

107848701020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

Adding to 107848701020160 its reverse (61020107848701), we get a palindrome (168868808868861).

The spelling of 107848701020160 in words is "one hundred seven trillion, eight hundred forty-eight billion, seven hundred one million, twenty thousand, one hundred sixty".