105269528976 has 40 divisors (see below), whose sum is σ = 274352901600. Its totient is φ = 34779311616.

The previous prime is 105269528929. The next prime is 105269529007. The reversal of 105269528976 is 679825962501.

It is a super-2 number, since 2×105269528976² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9698626 + ... + 9709473.

It is an arithmetic number, because the mean of its divisors is an integer number (6858822540).

Almost surely, 2^105269528976 is an apocalyptic number.

105269528976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105269528976 is an abundant number, since it is smaller than the sum of its proper divisors (169083372624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105269528976 is a wasteful number, since it uses less digits than its factorization.

105269528976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19408223 (or 19408217 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 105269528976 in words is "one hundred five billion, two hundred sixty-nine million, five hundred twenty-eight thousand, nine hundred seventy-six".