107269072736 has 192 divisors, whose sum is σ = 251499773952. Its totient is φ = 44082081792.

The previous prime is 107269072733. The next prime is 107269072751. The reversal of 107269072736 is 637270962701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107269072733) 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 31 ways as a sum of consecutive naturals, for example, 234724220 + ... + 234724676.

It is an arithmetic number, because the mean of its divisors is an integer number (1309894656).

Almost surely, 2^107269072736 is an apocalyptic number.

107269072736 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 107269072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125749886976).

107269072736 is an abundant number, since it is smaller than the sum of its proper divisors (144230701216).

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

107269072736 is a wasteful number, since it uses less digits than its factorization.

107269072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 50.

The spelling of 107269072736 in words is "one hundred seven billion, two hundred sixty-nine million, seventy-two thousand, seven hundred thirty-six".