105152251 has 8 divisors (see below), whose sum is σ = 115499520. Its totient is φ = 95286312.

The previous prime is 105152237. The next prime is 105152273. The reversal of 105152251 is 152251501.

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 not a de Polignac number, because 105152251 - 2¹¹ = 105150203 is a prime.

It is a super-2 number, since 2×105152251² = 22113991780734002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105152851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119875 + ... + 120748.

It is an arithmetic number, because the mean of its divisors is an integer number (14437440).

Almost surely, 2^105152251 is an apocalyptic number.

105152251 is a deficient number, since it is larger than the sum of its proper divisors (10347269).

105152251 is a wasteful number, since it uses less digits than its factorization.

105152251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240665.

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 105152251 is about 10254.3771629485. The cubic root of 105152251 is about 471.9973112817.

The spelling of 105152251 in words is "one hundred five million, one hundred fifty-two thousand, two hundred fifty-one".