105424504000 has 224 divisors, whose sum is σ = 266648915520. Its totient is φ = 41277440000.

The previous prime is 105424503983. The next prime is 105424504013. The reversal of 105424504000 is 405424501.

It is a happy number.

It is a super-2 number, since 2×105424504000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 189271722 + ... + 189272278.

Almost surely, 2^105424504000 is an apocalyptic number.

105424504000 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 105424504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324457760).

105424504000 is an abundant number, since it is smaller than the sum of its proper divisors (161224411520).

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

105424504000 is an equidigital number, since it uses as much as digits as its factorization.

105424504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 105424504000 its reverse (405424501), we get a palindrome (105829928501).

The spelling of 105424504000 in words is "one hundred five billion, four hundred twenty-four million, five hundred four thousand".