105956127 has 16 divisors (see below), whose sum is σ = 157430880. Its totient is φ = 70430976.

The previous prime is 105956119. The next prime is 105956129. The reversal of 105956127 is 721659501.

105956127 is a `hidden beast` number, since 1 + 0 + 595 + 61 + 2 + 7 = 666.

It is not a de Polignac number, because 105956127 - 2³ = 105956119 is a prime.

It is a super-2 number, since 2×105956127² = 22453401697680258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105956091 and 105956100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105956129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (9839430).

Almost surely, 2^105956127 is an apocalyptic number.

105956127 is a deficient number, since it is larger than the sum of its proper divisors (51474753).

105956127 is a wasteful number, since it uses less digits than its factorization.

105956127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11473 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 105956127 is about 10293.4992592412. The cubic root of 105956127 is about 473.1970462725.

The spelling of 105956127 in words is "one hundred five million, nine hundred fifty-six thousand, one hundred twenty-seven".