105216251 has 8 divisors (see below), whose sum is σ = 121415424. Its totient is φ = 89309160.

The previous prime is 105216233. The next prime is 105216253. The reversal of 105216251 is 152612501.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105216251 is a prime.

It is a super-2 number, since 2×105216251² = 22140918948990002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105216253) 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, 72245 + ... + 73686.

It is an arithmetic number, because the mean of its divisors is an integer number (15176928).

Almost surely, 2^105216251 is an apocalyptic number.

105216251 is a deficient number, since it is larger than the sum of its proper divisors (16199173).

105216251 is a wasteful number, since it uses less digits than its factorization.

105216251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146041.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105216251 is about 10257.4973068483. The cubic root of 105216251 is about 472.0930508756.

Adding to 105216251 its reverse (152612501), we get a palindrome (257828752).

The spelling of 105216251 in words is "one hundred five million, two hundred sixteen thousand, two hundred fifty-one".