107780145271344 has 300 divisors, whose sum is σ = 390790762727904. Its totient is φ = 28425532601088.

The previous prime is 107780145271291. The next prime is 107780145271361. The reversal of 107780145271344 is 443172541087701.

107780145271344 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 80 + 1 + 4 + 527 + 1 + 34 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64452072 + ... + 66103175.

Almost surely, 2^{107780145271344} is an apocalyptic number.

107780145271344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107780145271344 is an abundant number, since it is smaller than the sum of its proper divisors (283010617456560).

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

107780145271344 is a wasteful number, since it uses less digits than its factorization.

107780145271344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130555294 (or 130555272 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 107780145271344 in words is "one hundred seven trillion, seven hundred eighty billion, one hundred forty-five million, two hundred seventy-one thousand, three hundred forty-four".