105484500 has 144 divisors (see below), whose sum is σ = 363190464. Its totient is φ = 25560000.

The previous prime is 105484481. The next prime is 105484517. The reversal of 105484500 is 5484501.

It is a super-2 number, since 2×105484500² = 22253959480500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48435 + ... + 50565.

It is an arithmetic number, because the mean of its divisors is an integer number (2522156).

Almost surely, 2^105484500 is an apocalyptic number.

105484500 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 105484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181595232).

105484500 is an abundant number, since it is smaller than the sum of its proper divisors (257705964).

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

105484500 is a wasteful number, since it uses less digits than its factorization.

105484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105484500 is about 10270.5647361769. The cubic root of 105484500 is about 472.4939110662.

Subtracting from 105484500 its reverse (5484501), we obtain a palindrome (99999999).

The spelling of 105484500 in words is "one hundred five million, four hundred eighty-four thousand, five hundred".