105104087424 has 288 divisors, whose sum is σ = 352349679240. Its totient is φ = 29985177600.

The previous prime is 105104087419. The next prime is 105104087453. The reversal of 105104087424 is 424780401501.

It is a happy number.

105104087424 is a `hidden beast` number, since 1 + 0 + 510 + 40 + 87 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105104087424² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65648224 + ... + 65649824.

Almost surely, 2^105104087424 is an apocalyptic number.

105104087424 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 105104087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176174839620).

105104087424 is an abundant number, since it is smaller than the sum of its proper divisors (247245591816).

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

105104087424 is a wasteful number, since it uses less digits than its factorization.

105104087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 105104087424 its reverse (424780401501), we get a palindrome (529884488925).

The spelling of 105104087424 in words is "one hundred five billion, one hundred four million, eighty-seven thousand, four hundred twenty-four".