105987023809 has 32 divisors (see below), whose sum is σ = 115658928000. Its totient is φ = 96780096000.

The previous prime is 105987023749. The next prime is 105987023819. The reversal of 105987023809 is 908320789501.

It is a cyclic number.

It is not a de Polignac number, because 105987023809 - 2⁹ = 105987023297 is a prime.

It is a super-2 number, since 2×105987023809² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105987023819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34759717 + ... + 34762765.

It is an arithmetic number, because the mean of its divisors is an integer number (3614341500).

Almost surely, 2^105987023809 is an apocalyptic number.

105987023809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105987023809 is a deficient number, since it is larger than the sum of its proper divisors (9671904191).

105987023809 is a wasteful number, since it uses less digits than its factorization.

105987023809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 105987023809 in words is "one hundred five billion, nine hundred eighty-seven million, twenty-three thousand, eight hundred nine".