105013043478 has 96 divisors (see below), whose sum is σ = 265717131264. Its totient is φ = 29348519616.

The previous prime is 105013043363. The next prime is 105013043479. The reversal of 105013043478 is 874340310501.

It is a happy number.

105013043478 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 304 + 347 + 8 = 666.

It is a super-2 number, since 2×105013043478² (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 (105013043479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13243551 + ... + 13251477.

It is an arithmetic number, because the mean of its divisors is an integer number (2767886784).

Almost surely, 2^105013043478 is an apocalyptic number.

105013043478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105013043478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132858565632).

105013043478 is an abundant number, since it is smaller than the sum of its proper divisors (160704087786).

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

105013043478 is a wasteful number, since it uses less digits than its factorization.

105013043478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 105013043478 its reverse (874340310501), we get a palindrome (979353353979).

The spelling of 105013043478 in words is "one hundred five billion, thirteen million, forty-three thousand, four hundred seventy-eight".