105535166540 has 24 divisors (see below), whose sum is σ = 221635591632. Its totient is φ = 42211830080.

The previous prime is 105535166449. The next prime is 105535166579. The reversal of 105535166540 is 45661535501.

105535166540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105535166540² (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, 277535 + ... + 536745.

It is an arithmetic number, because the mean of its divisors is an integer number (9234816318).

Almost surely, 2^105535166540 is an apocalyptic number.

105535166540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105535166540 is an abundant number, since it is smaller than the sum of its proper divisors (116100425092).

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

105535166540 is a wasteful number, since it uses less digits than its factorization.

105535166540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279577 (or 279575 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 105535166540 in words is "one hundred five billion, five hundred thirty-five million, one hundred sixty-six thousand, five hundred forty".