105167763311132 has 12 divisors (see below), whose sum is σ = 193730090310120. Its totient is φ = 49816308936816.

The previous prime is 105167763311099. The next prime is 105167763311183. The reversal of 105167763311132 is 231113367761501.

It is a super-2 number, since 2×105167763311132² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 691893179603 + ... + 691893179754.

It is an arithmetic number, because the mean of its divisors is an integer number (16144174192510).

Almost surely, 2^{105167763311132} is an apocalyptic number.

It is an amenable number.

105167763311132 is a deficient number, since it is larger than the sum of its proper divisors (88562326998988).

105167763311132 is a wasteful number, since it uses less digits than its factorization.

105167763311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383786359380 (or 1383786359378 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 105167763311132 in words is "one hundred five trillion, one hundred sixty-seven billion, seven hundred sixty-three million, three hundred eleven thousand, one hundred thirty-two".