105004983825 has 144 divisors (see below), whose sum is σ = 223221712896. Its totient is φ = 47933985600.

The previous prime is 105004983803. The next prime is 105004983827. The reversal of 105004983825 is 528389400501.

105004983825 is a `hidden beast` number, since 1 + 0 + 500 + 4 + 98 + 38 + 25 = 666.

It is not a de Polignac number, because 105004983825 - 2⁷ = 105004983697 is a prime.

It is a super-2 number, since 2×105004983825² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105004983827) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41290504 + ... + 41293046.

It is an arithmetic number, because the mean of its divisors is an integer number (1550150784).

Almost surely, 2^105004983825 is an apocalyptic number.

105004983825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105004983825 is an abundant number, since it is smaller than the sum of its proper divisors (118216729071).

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

105004983825 is an equidigital number, since it uses as much as digits as its factorization.

105004983825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 105004983825 in words is "one hundred five billion, four million, nine hundred eighty-three thousand, eight hundred twenty-five".