105329341888 has 112 divisors (see below), whose sum is σ = 219144189600. Its totient is φ = 50164531200.

The previous prime is 105329341883. The next prime is 105329341891. The reversal of 105329341888 is 888143923501.

It is a happy number.

It is a super-2 number, since 2×105329341888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105329341883) 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, 72192103 + ... + 72193561.

It is an arithmetic number, because the mean of its divisors is an integer number (1956644550).

Almost surely, 2^105329341888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105329341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109572094800).

105329341888 is an abundant number, since it is smaller than the sum of its proper divisors (113814847712).

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

105329341888 is a wasteful number, since it uses less digits than its factorization.

105329341888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 105329341888 in words is "one hundred five billion, three hundred twenty-nine million, three hundred forty-one thousand, eight hundred eighty-eight".