105727941 has 48 divisors (see below), whose sum is σ = 177016320. Its totient is φ = 60176160.

The previous prime is 105727933. The next prime is 105727967. The reversal of 105727941 is 149727501.

It is a happy number.

105727941 is a `hidden beast` number, since 10 + 572 + 79 + 4 + 1 = 666.

It is not a de Polignac number, because 105727941 - 2³ = 105727933 is a prime.

It is a super-2 number, since 2×105727941² = 22356795016198962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105727896 and 105727905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105727931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133950 + ... + 134736.

It is an arithmetic number, because the mean of its divisors is an integer number (3687840).

Almost surely, 2^105727941 is an apocalyptic number.

105727941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105727941 is a deficient number, since it is larger than the sum of its proper divisors (71288379).

105727941 is a wasteful number, since it uses less digits than its factorization.

105727941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 105727941 is about 10282.4092993812. The cubic root of 105727941 is about 472.8571114026.

The spelling of 105727941 in words is "one hundred five million, seven hundred twenty-seven thousand, nine hundred forty-one".