105176012727764 has 36 divisors (see below), whose sum is σ = 202317581247264. Its totient is φ = 47805891210000.

The previous prime is 105176012727659. The next prime is 105176012727767. The reversal of 105176012727764 is 467727210671501.

It is a happy number.

It is a super-2 number, since 2×105176012727764² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105176012727767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13635449 + ... + 19906719.

It is an arithmetic number, because the mean of its divisors is an integer number (5619932812424).

Almost surely, 2^{105176012727764} is an apocalyptic number.

It is an amenable number.

105176012727764 is a deficient number, since it is larger than the sum of its proper divisors (97141568519500).

105176012727764 is a wasteful number, since it uses less digits than its factorization.

105176012727764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305948 (or 6305935 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 105176012727764 in words is "one hundred five trillion, one hundred seventy-six billion, twelve million, seven hundred twenty-seven thousand, seven hundred sixty-four".