105127051512 has 64 divisors (see below), whose sum is σ = 301609440000. Its totient is φ = 29911656960.

The previous prime is 105127051511. The next prime is 105127051537. The reversal of 105127051512 is 215150721501.

It is a super-2 number, since 2×105127051512² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105127051512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105127051511) 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 15 ways as a sum of consecutive naturals, for example, 1257762 + ... + 1338737.

It is an arithmetic number, because the mean of its divisors is an integer number (4712647500).

Almost surely, 2^105127051512 is an apocalyptic number.

105127051512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105127051512 is an abundant number, since it is smaller than the sum of its proper divisors (196482388488).

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

105127051512 is a wasteful number, since it uses less digits than its factorization.

105127051512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596756 (or 2596752 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 30.

The spelling of 105127051512 in words is "one hundred five billion, one hundred twenty-seven million, fifty-one thousand, five hundred twelve".