107004034138112 has 120 divisors (see below), whose sum is σ = 215752201829472. Its totient is φ = 53065816473600.

The previous prime is 107004034138109. The next prime is 107004034138181. The reversal of 107004034138112 is 211831430400701.

It is a super-2 number, since 2×107004034138112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193251037 + ... + 1193340707.

Almost surely, 2^{107004034138112} 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 107004034138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107876100914736).

107004034138112 is an abundant number, since it is smaller than the sum of its proper divisors (108748167691360).

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

107004034138112 is an frugal number, since it uses more digits than its factorization.

107004034138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90293 (or 90267 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 107004034138112 its reverse (211831430400701), we get a palindrome (318835464538813).

The spelling of 107004034138112 in words is "one hundred seven trillion, four billion, thirty-four million, one hundred thirty-eight thousand, one hundred twelve".