107136438966 has 80 divisors (see below), whose sum is σ = 250627094784. Its totient is φ = 34142468976.

The previous prime is 107136438961. The next prime is 107136439009. The reversal of 107136438966 is 669834631701.

It is a happy number.

107136438966 is a `hidden beast` number, since 10 + 7 + 136 + 438 + 9 + 66 = 666.

It is a super-2 number, since 2×107136438966² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107136438961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9022165 + ... + 9034031.

Almost surely, 2^107136438966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107136438966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125313547392).

107136438966 is an abundant number, since it is smaller than the sum of its proper divisors (143490655818).

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

107136438966 is a wasteful number, since it uses less digits than its factorization.

107136438966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 107136438966 in words is "one hundred seven billion, one hundred thirty-six million, four hundred thirty-eight thousand, nine hundred sixty-six".