105144503768 has 32 divisors (see below), whose sum is σ = 198140152320. Its totient is φ = 52307520000.

The previous prime is 105144503701. The next prime is 105144503771. The reversal of 105144503768 is 867305441501.

It is a super-2 number, since 2×105144503768² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2195438 + ... + 2242818.

It is an arithmetic number, because the mean of its divisors is an integer number (6191879760).

Almost surely, 2^105144503768 is an apocalyptic number.

It is an amenable number.

105144503768 is a deficient number, since it is larger than the sum of its proper divisors (92995648552).

105144503768 is a wasteful number, since it uses less digits than its factorization.

105144503768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48779 (or 48775 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 105144503768 in words is "one hundred five billion, one hundred forty-four million, five hundred three thousand, seven hundred sixty-eight".