105828687820 has 24 divisors (see below), whose sum is σ = 224737329600. Its totient is φ = 41855839872.

The previous prime is 105828687791. The next prime is 105828687857. The reversal of 105828687820 is 28786828501.

It is a super-2 number, since 2×105828687820² (a number of 23 digits) contains 22 as substring.

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, 29725380 + ... + 29728939.

It is an arithmetic number, because the mean of its divisors is an integer number (9364055400).

Almost surely, 2^105828687820 is an apocalyptic number.

105828687820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105828687820 is an abundant number, since it is smaller than the sum of its proper divisors (118908641780).

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

105828687820 is a wasteful number, since it uses less digits than its factorization.

105828687820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59454417 (or 59454415 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 55.

The spelling of 105828687820 in words is "one hundred five billion, eight hundred twenty-eight million, six hundred eighty-seven thousand, eight hundred twenty".