105752127 has 16 divisors (see below), whose sum is σ = 153248480. Its totient is φ = 64478592.

The previous prime is 105752113. The next prime is 105752149. The reversal of 105752127 is 721257501.

It is not a de Polignac number, because 105752127 - 2⁸ = 105751871 is a prime.

It is a super-2 number, since 2×105752127² = 22367024730048258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105752094 and 105752103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105752167) 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, 8188 + ... + 16689.

It is an arithmetic number, because the mean of its divisors is an integer number (9578030).

Almost surely, 2^105752127 is an apocalyptic number.

105752127 is a deficient number, since it is larger than the sum of its proper divisors (47496353).

105752127 is a wasteful number, since it uses less digits than its factorization.

105752127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25002.

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 105752127 is about 10283.5853183605. The cubic root of 105752127 is about 472.8931651018.

The spelling of 105752127 in words is "one hundred five million, seven hundred fifty-two thousand, one hundred twenty-seven".