105731966617910 has 16 divisors (see below), whose sum is σ = 190410242111856. Its totient is φ = 42272186158368.

The previous prime is 105731966617889. The next prime is 105731966617913. The reversal of 105731966617910 is 19716669137501.

It is a super-2 number, since 2×105731966617910² (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 (105731966617913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575039544 + ... + 2575080603.

It is an arithmetic number, because the mean of its divisors is an integer number (11900640131991).

Almost surely, 2^{105731966617910} is an apocalyptic number.

105731966617910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105731966617910 is a deficient number, since it is larger than the sum of its proper divisors (84678275493946).

105731966617910 is a wasteful number, since it uses less digits than its factorization.

105731966617910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150122207.

The product of its (nonzero) digits is 12859560, while the sum is 62.

The spelling of 105731966617910 in words is "one hundred five trillion, seven hundred thirty-one billion, nine hundred sixty-six million, six hundred seventeen thousand, nine hundred ten".