105035131140 has 96 divisors (see below), whose sum is σ = 299512080000. Its totient is φ = 27495140352.

The previous prime is 105035131079. The next prime is 105035131177. The reversal of 105035131140 is 41131530501.

It is a super-2 number, since 2×105035131140² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105035131140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2488936 + ... + 2530784.

It is an arithmetic number, because the mean of its divisors is an integer number (3119917500).

Almost surely, 2^105035131140 is an apocalyptic number.

105035131140 is a gapful number since it is divisible by the number (10) 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 105035131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149756040000).

105035131140 is an abundant number, since it is smaller than the sum of its proper divisors (194476948860).

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

105035131140 is a wasteful number, since it uses less digits than its factorization.

105035131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629 (or 42627 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105035131140 its reverse (41131530501), we get a palindrome (146166661641).

The spelling of 105035131140 in words is "one hundred five billion, thirty-five million, one hundred thirty-one thousand, one hundred forty".