127765335105 has 48 divisors (see below), whose sum is σ = 227792410560. Its totient is φ = 66198674304.

The previous prime is 127765335079. The next prime is 127765335127. The reversal of 127765335105 is 501533567721.

127765335105 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 6 + 533 + 5 + 105 = 666.

It is not a de Polignac number, because 127765335105 - 2¹¹ = 127765333057 is a prime.

It is a super-2 number, since 2×127765335105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039014 + ... + 1155456.

It is an arithmetic number, because the mean of its divisors is an integer number (4745675220).

Almost surely, 2^127765335105 is an apocalyptic number.

127765335105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127765335105 is a deficient number, since it is larger than the sum of its proper divisors (100027075455).

127765335105 is a wasteful number, since it uses less digits than its factorization.

127765335105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117150 (or 117147 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 127765335105 in words is "one hundred twenty-seven billion, seven hundred sixty-five million, three hundred thirty-five thousand, one hundred five".