105485487768 has 48 divisors (see below), whose sum is σ = 287775217080. Its totient is φ = 34905170304.

The previous prime is 105485487749. The next prime is 105485487803. The reversal of 105485487768 is 867784584501.

It is a happy number.

105485487768 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 85 + 487 + 76 + 8 = 666.

It is a super-2 number, since 2×105485487768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5337130 + ... + 5356857.

Almost surely, 2^105485487768 is an apocalyptic number.

105485487768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105485487768 is an abundant number, since it is smaller than the sum of its proper divisors (182289729312).

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

105485487768 is a wasteful number, since it uses less digits than its factorization.

105485487768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694136 (or 10694129 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 105485487768 in words is "one hundred five billion, four hundred eighty-five million, four hundred eighty-seven thousand, seven hundred sixty-eight".