105313250 has 48 divisors (see below), whose sum is σ = 229360248. Its totient is φ = 36103200.

The previous prime is 105313223. The next prime is 105313291. The reversal of 105313250 is 52313501.

It can be written as a sum of positive squares in 4 ways, for example, as 41744521 + 63568729 = 6461^2 + 7973^2 .

It is a super-2 number, since 2×105313250² = 22181761251125000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7952 + ... + 16548.

Almost surely, 2^105313250 is an apocalyptic number.

105313250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105313250 is an abundant number, since it is smaller than the sum of its proper divisors (124046998).

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

105313250 is an equidigital number, since it uses as much as digits as its factorization.

105313250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8611 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105313250 is about 10262.2244177371. The cubic root of 105313250 is about 472.2380807182.

Adding to 105313250 its reverse (52313501), we get a palindrome (157626751).

The spelling of 105313250 in words is "one hundred five million, three hundred thirteen thousand, two hundred fifty".