105103504 has 45 divisors (see below), whose sum is σ = 224798329. Its totient is φ = 47569280.

The previous prime is 105103499. The next prime is 105103507. The reversal of 105103504 is 405301501.

The square root of 105103504 is 10252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 83759104 = 4620^2 + 9152^2 .

It is a super-2 number, since 2×105103504² = 22093493106156032, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105103507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 450972 + ... + 451204.

Almost surely, 2^105103504 is an apocalyptic number.

105103504 is the 10252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105103504

105103504 is an abundant number, since it is smaller than the sum of its proper divisors (119694825).

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

105103504 is an equidigital number, since it uses as much as digits as its factorization.

105103504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The cubic root of 105103504 is about 471.9243630595.

The spelling of 105103504 in words is "one hundred five million, one hundred three thousand, five hundred four".