105004251 has 24 divisors (see below), whose sum is σ = 168989184. Its totient is φ = 62282160.

The previous prime is 105004231. The next prime is 105004267. The reversal of 105004251 is 152400501.

It is not a de Polignac number, because 105004251 - 2¹⁵ = 104971483 is a prime.

It is a super-2 number, since 2×105004251² = 22051785456142002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105004201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6631 + ... + 15936.

It is an arithmetic number, because the mean of its divisors is an integer number (7041216).

Almost surely, 2^105004251 is an apocalyptic number.

105004251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105004251 is a deficient number, since it is larger than the sum of its proper divisors (63984933).

105004251 is a wasteful number, since it uses less digits than its factorization.

105004251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22631 (or 22628 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105004251 is about 10247.1581914207. The cubic root of 105004251 is about 471.7757645861.

Adding to 105004251 its reverse (152400501), we get a palindrome (257404752).

The spelling of 105004251 in words is "one hundred five million, four thousand, two hundred fifty-one".