107272515216 has 160 divisors (see below), whose sum is σ = 293531212800. Its totient is φ = 33717358080.

The previous prime is 107272515209. The next prime is 107272515241. The reversal of 107272515216 is 612515272701.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7432455 + ... + 7446873.

It is an arithmetic number, because the mean of its divisors is an integer number (1834570080).

Almost surely, 2^107272515216 is an apocalyptic number.

107272515216 is a gapful number since it is divisible by the number (16) 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 107272515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146765606400).

107272515216 is an abundant number, since it is smaller than the sum of its proper divisors (186258697584).

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

107272515216 is a wasteful number, since it uses less digits than its factorization.

107272515216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

Adding to 107272515216 its reverse (612515272701), we get a palindrome (719787787917).

The spelling of 107272515216 in words is "one hundred seven billion, two hundred seventy-two million, five hundred fifteen thousand, two hundred sixteen".