107537121264 has 160 divisors (see below), whose sum is σ = 286029817920. Its totient is φ = 34800869376.

The previous prime is 107537121217. The next prime is 107537121277. The reversal of 107537121264 is 462121735701.

It is a congruent number.

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, 114767004 + ... + 114767940.

It is an arithmetic number, because the mean of its divisors is an integer number (1787686362).

Almost surely, 2^107537121264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107537121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143014908960).

107537121264 is an abundant number, since it is smaller than the sum of its proper divisors (178492696656).

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

107537121264 is a wasteful number, since it uses less digits than its factorization.

107537121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

Adding to 107537121264 its reverse (462121735701), we get a palindrome (569658856965).

The spelling of 107537121264 in words is "one hundred seven billion, five hundred thirty-seven million, one hundred twenty-one thousand, two hundred sixty-four".