105252927 has 16 divisors (see below), whose sum is σ = 151482240. Its totient is φ = 64621152.

The previous prime is 105252911. The next prime is 105252937. The reversal of 105252927 is 729252501.

It is a happy number.

It is not a de Polignac number, because 105252927 - 2⁴ = 105252911 is a prime.

It is a super-2 number, since 2×105252927² = 22156357284134658, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105252937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15324 + ... + 21102.

It is an arithmetic number, because the mean of its divisors is an integer number (9467640).

Almost surely, 2^105252927 is an apocalyptic number.

105252927 is a deficient number, since it is larger than the sum of its proper divisors (46229313).

105252927 is a wasteful number, since it uses less digits than its factorization.

105252927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105252927 is about 10259.2849166012. The cubic root of 105252927 is about 472.1478981485.

The spelling of 105252927 in words is "one hundred five million, two hundred fifty-two thousand, nine hundred twenty-seven".