105639909984 has 144 divisors (see below), whose sum is σ = 363525690528. Its totient is φ = 28407361536.

The previous prime is 105639909919. The next prime is 105639910021. The reversal of 105639909984 is 489909936501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105639909984² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506927 + ... + 1575470.

It is an arithmetic number, because the mean of its divisors is an integer number (2524483962).

Almost surely, 2^105639909984 is an apocalyptic number.

105639909984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105639909984 is an abundant number, since it is smaller than the sum of its proper divisors (257885780544).

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

105639909984 is a wasteful number, since it uses less digits than its factorization.

105639909984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082437 (or 3082426 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 105639909984 in words is "one hundred five billion, six hundred thirty-nine million, nine hundred nine thousand, nine hundred eighty-four".