105705189840 has 80 divisors (see below), whose sum is σ = 328315432896. Its totient is φ = 28133913600.

The previous prime is 105705189839. The next prime is 105705189841. The reversal of 105705189840 is 48981507501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105705189839) and next prime (105705189841).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105705189840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105705189840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105705189841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297646 + ... + 547725.

Almost surely, 2^105705189840 is an apocalyptic number.

105705189840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105705189840 is an abundant number, since it is smaller than the sum of its proper divisors (222610243056).

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

105705189840 is a wasteful number, since it uses less digits than its factorization.

105705189840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845908 (or 845902 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 105705189840 in words is "one hundred five billion, seven hundred five million, one hundred eighty-nine thousand, eight hundred forty".