105461251 has 16 divisors (see below), whose sum is σ = 128355840. Its totient is φ = 84585600.

The previous prime is 105461227. The next prime is 105461263. The reversal of 105461251 is 152164501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105461251 - 2⁵ = 105461219 is a prime.

It is a super-2 number, since 2×105461251² = 22244150924970002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105461201) 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, 18826 + ... + 23776.

It is an arithmetic number, because the mean of its divisors is an integer number (8022240).

Almost surely, 2^105461251 is an apocalyptic number.

105461251 is a deficient number, since it is larger than the sum of its proper divisors (22894589).

105461251 is a wasteful number, since it uses less digits than its factorization.

105461251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105461251 is about 10269.4328470466. The cubic root of 105461251 is about 472.4591956402.

The spelling of 105461251 in words is "one hundred five million, four hundred sixty-one thousand, two hundred fifty-one".