105828104620 has 48 divisors (see below), whose sum is σ = 265030391808. Its totient is φ = 34706358720.

The previous prime is 105828104609. The next prime is 105828104719. The reversal of 105828104620 is 26401828501.

It is a super-2 number, since 2×105828104620² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105828104620.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16429716 + ... + 16436155.

It is an arithmetic number, because the mean of its divisors is an integer number (5521466496).

Almost surely, 2^105828104620 is an apocalyptic number.

105828104620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105828104620 is an abundant number, since it is smaller than the sum of its proper divisors (159202287188).

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

105828104620 is a wasteful number, since it uses less digits than its factorization.

105828104620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32865910 (or 32865908 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 105828104620 in words is "one hundred five billion, eight hundred twenty-eight million, one hundred four thousand, six hundred twenty".