107077111107732 has 192 divisors, whose sum is σ = 281959140556800. Its totient is φ = 35138254273920.

The previous prime is 107077111107721. The next prime is 107077111107773. The reversal of 107077111107732 is 237701111770701.

It is a happy number.

It is a super-3 number, since 3×107077111107732³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927651382 + ... + 927766802.

It is an arithmetic number, because the mean of its divisors is an integer number (1468537190400).

Almost surely, 2^{107077111107732} is an apocalyptic number.

107077111107732 is a gapful number since it is divisible by the number (12) 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 107077111107732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140979570278400).

107077111107732 is an abundant number, since it is smaller than the sum of its proper divisors (174882029449068).

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

107077111107732 is a wasteful number, since it uses less digits than its factorization.

107077111107732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116083 (or 116075 counting only the distinct ones).

The product of its (nonzero) digits is 100842, while the sum is 45.

The spelling of 107077111107732 in words is "one hundred seven trillion, seventy-seven billion, one hundred eleven million, one hundred seven thousand, seven hundred thirty-two".