105504257 has 8 divisors (see below), whose sum is σ = 106353192. Its totient is φ = 104659200.

The previous prime is 105504251. The next prime is 105504313. The reversal of 105504257 is 752405501.

It can be written as a sum of positive squares in 4 ways, for example, as 5424241 + 100080016 = 2329^2 + 10004^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105504257 - 2¹⁶ = 105438721 is a prime.

It is a super-2 number, since 2×105504257² = 22262296490244098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105504251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75707 + ... + 77087.

It is an arithmetic number, because the mean of its divisors is an integer number (13294149).

Almost surely, 2^105504257 is an apocalyptic number.

It is an amenable number.

105504257 is a deficient number, since it is larger than the sum of its proper divisors (848935).

105504257 is a wasteful number, since it uses less digits than its factorization.

105504257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939.

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 105504257 is about 10271.5265175143. The cubic root of 105504257 is about 472.5234082260.

Adding to 105504257 its reverse (752405501), we get a palindrome (857909758).

The spelling of 105504257 in words is "one hundred five million, five hundred four thousand, two hundred fifty-seven".