107123432136 has 128 divisors (see below), whose sum is σ = 307487784960. Its totient is φ = 30464928000.

The previous prime is 107123432111. The next prime is 107123432159. The reversal of 107123432136 is 631234321701.

It is a happy number.

It is a super-2 number, since 2×107123432136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107123432097 and 107123432106.

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, 54905961 + ... + 54907911.

It is an arithmetic number, because the mean of its divisors is an integer number (2402248320).

Almost surely, 2^107123432136 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 107123432136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153743892480).

107123432136 is an abundant number, since it is smaller than the sum of its proper divisors (200364352824).

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

107123432136 is a wasteful number, since it uses less digits than its factorization.

107123432136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 107123432136 its reverse (631234321701), we get a palindrome (738357753837).

The spelling of 107123432136 in words is "one hundred seven billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred thirty-six".