107141239296 has 960 divisors, whose sum is σ = 415360915200. Its totient is φ = 27028463616.

The previous prime is 107141239243. The next prime is 107141239307. The reversal of 107141239296 is 692932141701.

107141239296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107141239296² (a number of 23 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 95 ways as a sum of consecutive naturals, for example, 4658314741 + ... + 4658314763.

It is an arithmetic number, because the mean of its divisors is an integer number (432667620).

Almost surely, 2^107141239296 is an apocalyptic number.

107141239296 is a gapful number since it is divisible by the number (16) 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 107141239296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207680457600).

107141239296 is an abundant number, since it is smaller than the sum of its proper divisors (308219675904).

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

107141239296 is an frugal number, since it uses more digits than its factorization.

107141239296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 107141239296 in words is "one hundred seven billion, one hundred forty-one million, two hundred thirty-nine thousand, two hundred ninety-six".