107377360979072 has 72 divisors (see below), whose sum is σ = 221553618340665. Its totient is φ = 51835705374208.

The previous prime is 107377360978999. The next prime is 107377360979099. The reversal of 107377360979072 is 270979063773701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 107313521882176 + 63839096896 = 10359224^2 + 252664^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7327256.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107377360978993 and 107377360979011.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3399830993 + ... + 3399862575.

Almost surely, 2^{107377360979072} 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 107377360979072

107377360979072 is an abundant number, since it is smaller than the sum of its proper divisors (114176257361593).

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

107377360979072 is an frugal number, since it uses more digits than its factorization.

107377360979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63238 (or 31614 counting only the distinct ones).

The product of its (nonzero) digits is 147027636, while the sum is 68.

The spelling of 107377360979072 in words is "one hundred seven trillion, three hundred seventy-seven billion, three hundred sixty million, nine hundred seventy-nine thousand, seventy-two".