107977371572224 has 192 divisors, whose sum is σ = 269693403033600. Its totient is φ = 41988327014400.

The previous prime is 107977371572173. The next prime is 107977371572261. The reversal of 107977371572224 is 422275173779701.

It is a super-2 number, since 2×107977371572224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81502497 + ... + 82816735.

It is an arithmetic number, because the mean of its divisors is an integer number (1404653140800).

Almost surely, 2^{107977371572224} is an apocalyptic number.

107977371572224 is a gapful number since it is divisible by the number (14) 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 107977371572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134846701516800).

107977371572224 is an abundant number, since it is smaller than the sum of its proper divisors (161716031461376).

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

107977371572224 is a wasteful number, since it uses less digits than its factorization.

107977371572224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314800 (or 1314780 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 64.

The spelling of 107977371572224 in words is "one hundred seven trillion, nine hundred seventy-seven billion, three hundred seventy-one million, five hundred seventy-two thousand, two hundred twenty-four".