105634043424 has 576 divisors, whose sum is σ = 391010780160. Its totient is φ = 26269194240.

The previous prime is 105634043413. The next prime is 105634043483. The reversal of 105634043424 is 424340436501.

105634043424 is a `hidden beast` number, since 1 + 0 + 563 + 40 + 4 + 34 + 24 = 666.

105634043424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105634043424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152870919 + ... + 152871609.

It is an arithmetic number, because the mean of its divisors is an integer number (678838160).

Almost surely, 2^105634043424 is an apocalyptic number.

105634043424 is a gapful number since it is divisible by the number (14) 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 105634043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195505390080).

105634043424 is an abundant number, since it is smaller than the sum of its proper divisors (285376736736).

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

105634043424 is a wasteful number, since it uses less digits than its factorization.

105634043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 105634043424 its reverse (424340436501), we get a palindrome (529974479925).

The spelling of 105634043424 in words is "one hundred five billion, six hundred thirty-four million, forty-three thousand, four hundred twenty-four".