105759244032 has 144 divisors (see below), whose sum is σ = 306964976640. Its totient is φ = 32129150976.

The previous prime is 105759244021. The next prime is 105759244061. The reversal of 105759244032 is 230442957501.

It is a happy number.

It is a super-2 number, since 2×105759244032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721693 + ... + 855779.

Almost surely, 2^105759244032 is an apocalyptic number.

105759244032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105759244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153482488320).

105759244032 is an abundant number, since it is smaller than the sum of its proper divisors (201205732608).

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

105759244032 is a wasteful number, since it uses less digits than its factorization.

105759244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134198 (or 134184 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 105759244032 in words is "one hundred five billion, seven hundred fifty-nine million, two hundred forty-four thousand, thirty-two".