105488842770 has 24 divisors (see below), whose sum is σ = 274270991436. Its totient is φ = 28130358048.

The previous prime is 105488842759. The next prime is 105488842777. The reversal of 105488842770 is 77248884501.

105488842770 is a `hidden beast` number, since 1 + 0 + 548 + 8 + 8 + 4 + 27 + 70 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104279263929 + 1209578841 = 322923^2 + 34779^2 .

It is a super-2 number, since 2×105488842770² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105488842777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586049037 + ... + 586049216.

Almost surely, 2^105488842770 is an apocalyptic number.

105488842770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105488842770 is an abundant number, since it is smaller than the sum of its proper divisors (168782148666).

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

105488842770 is a wasteful number, since it uses less digits than its factorization.

105488842770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172098266 (or 1172098263 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 105488842770 in words is "one hundred five billion, four hundred eighty-eight million, eight hundred forty-two thousand, seven hundred seventy".