107575221264 has 160 divisors (see below), whose sum is σ = 340893538560. Its totient is φ = 28531408896.

The previous prime is 107575221211. The next prime is 107575221379. The reversal of 107575221264 is 462122575701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287982 + ... + 545970.

It is an arithmetic number, because the mean of its divisors is an integer number (2130584616).

Almost surely, 2^107575221264 is an apocalyptic number.

107575221264 is a gapful number since it is divisible by the number (14) 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 107575221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170446769280).

107575221264 is an abundant number, since it is smaller than the sum of its proper divisors (233318317296).

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

107575221264 is a wasteful number, since it uses less digits than its factorization.

107575221264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258097 (or 258091 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

Adding to 107575221264 its reverse (462122575701), we get a palindrome (569697796965).

The spelling of 107575221264 in words is "one hundred seven billion, five hundred seventy-five million, two hundred twenty-one thousand, two hundred sixty-four".