105140411904 has 480 divisors, whose sum is σ = 330094372608. Its totient is φ = 29610803200.

The previous prime is 105140411903. The next prime is 105140411917. The reversal of 105140411904 is 409114041501.

It is a super-2 number, since 2×105140411904² (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 (105140411903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338071909 + ... + 338072219.

Almost surely, 2^105140411904 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 105140411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165047186304).

105140411904 is an abundant number, since it is smaller than the sum of its proper divisors (224953960704).

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

105140411904 is a wasteful number, since it uses less digits than its factorization.

105140411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 105140411904 in words is "one hundred five billion, one hundred forty million, four hundred eleven thousand, nine hundred four".