105111515828 has 48 divisors (see below), whose sum is σ = 206595446400. Its totient is φ = 46378252800.

The previous prime is 105111515827. The next prime is 105111515909. The reversal of 105111515828 is 828515111501.

It is a super-2 number, since 2×105111515828² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105111515791 and 105111515800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111515827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212600 + ... + 505392.

It is an arithmetic number, because the mean of its divisors is an integer number (4304071800).

Almost surely, 2^105111515828 is an apocalyptic number.

It is an amenable number.

105111515828 is a deficient number, since it is larger than the sum of its proper divisors (101483930572).

105111515828 is a wasteful number, since it uses less digits than its factorization.

105111515828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293048 (or 293046 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 38.

The spelling of 105111515828 in words is "one hundred five billion, one hundred eleven million, five hundred fifteen thousand, eight hundred twenty-eight".