107201413264 has 80 divisors (see below), whose sum is σ = 228243766464. Its totient is φ = 48372480000.

The previous prime is 107201413259. The next prime is 107201413309. The reversal of 107201413264 is 462314102701.

It is a super-2 number, since 2×107201413264² (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 15 ways as a sum of consecutive naturals, for example, 13823212 + ... + 13830964.

Almost surely, 2^107201413264 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 107201413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114121883232).

107201413264 is an abundant number, since it is smaller than the sum of its proper divisors (121042353200).

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

107201413264 is a wasteful number, since it uses less digits than its factorization.

107201413264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 107201413264 its reverse (462314102701), we get a palindrome (569515515965).

The spelling of 107201413264 in words is "one hundred seven billion, two hundred one million, four hundred thirteen thousand, two hundred sixty-four".