10105251 has 16 divisors (see below), whose sum is σ = 14644896. Its totient is φ = 6160896.

The previous prime is 10105247. The next prime is 10105261. The reversal of 10105251 is 15250101.

It is not a de Polignac number, because 10105251 - 2² = 10105247 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10105251.

It is not an unprimeable number, because it can be changed into a prime (10105241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3261 + ... + 5553.

It is an arithmetic number, because the mean of its divisors is an integer number (915306).

Almost surely, 2^10105251 is an apocalyptic number.

10105251 is a deficient number, since it is larger than the sum of its proper divisors (4539645).

10105251 is a wasteful number, since it uses less digits than its factorization.

10105251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 10105251 is about 3178.8757446619. The cubic root of 10105251 is about 216.1966872709.

Adding to 10105251 its reverse (15250101), we get a palindrome (25355352).

The spelling of 10105251 in words is "ten million, one hundred five thousand, two hundred fifty-one".