105907780377 has 24 divisors (see below), whose sum is σ = 178399894400. Its totient is φ = 60518729880.

The previous prime is 105907780343. The next prime is 105907780387. The reversal of 105907780377 is 773087709501.

It is a happy number.

105907780377 is a `hidden beast` number, since 10 + 590 + 7 + 7 + 8 + 0 + 37 + 7 = 666.

It is not a de Polignac number, because 105907780377 - 2¹⁹ = 105907256089 is a prime.

It is a super-3 number, since 3×105907780377³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105907780337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17150749 + ... + 17156922.

Almost surely, 2^105907780377 is an apocalyptic number.

It is an amenable number.

105907780377 is a deficient number, since it is larger than the sum of its proper divisors (72492114023).

105907780377 is an equidigital number, since it uses as much as digits as its factorization.

105907780377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34307698 (or 34307681 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 54.

The spelling of 105907780377 in words is "one hundred five billion, nine hundred seven million, seven hundred eighty thousand, three hundred seventy-seven".