105768748247164 has 48 divisors (see below), whose sum is σ = 190676263468320. Its totient is φ = 51304346818560.

The previous prime is 105768748247131. The next prime is 105768748247177. The reversal of 105768748247164 is 461742847867501.

It is a super-2 number, since 2×105768748247164² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105768748247093 and 105768748247102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069477702 + ... + 1069576594.

It is an arithmetic number, because the mean of its divisors is an integer number (3972422155590).

Almost surely, 2^{105768748247164} is an apocalyptic number.

It is an amenable number.

105768748247164 is a deficient number, since it is larger than the sum of its proper divisors (84907515221156).

105768748247164 is a wasteful number, since it uses less digits than its factorization.

105768748247164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135550 (or 135548 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 70.

The spelling of 105768748247164 in words is "one hundred five trillion, seven hundred sixty-eight billion, seven hundred forty-eight million, two hundred forty-seven thousand, one hundred sixty-four".