107171355264 has 64 divisors (see below), whose sum is σ = 284731106880. Its totient is φ = 35716608000.

The previous prime is 107171355233. The next prime is 107171355281. The reversal of 107171355264 is 462553171701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×107171355264² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2094789 + ... + 2145339.

It is an arithmetic number, because the mean of its divisors is an integer number (4448923545).

Almost surely, 2^107171355264 is an apocalyptic number.

It is an amenable number.

107171355264 is an abundant number, since it is smaller than the sum of its proper divisors (177559751616).

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

107171355264 is an equidigital number, since it uses as much as digits as its factorization.

107171355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56089 (or 56077 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 107171355264 in words is "one hundred seven billion, one hundred seventy-one million, three hundred fifty-five thousand, two hundred sixty-four".