105968541 has 16 divisors (see below), whose sum is σ = 162658944. Its totient is φ = 60109824.

The previous prime is 105968461. The next prime is 105968549. The reversal of 105968541 is 145869501.

It is not a de Polignac number, because 105968541 - 2¹⁴ = 105952157 is a prime.

It is a super-2 number, since 2×105968541² = 22458663363337362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105968541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105968549) 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, 15540 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (10166184).

Almost surely, 2^105968541 is an apocalyptic number.

It is an amenable number.

105968541 is a deficient number, since it is larger than the sum of its proper divisors (56690403).

105968541 is a wasteful number, since it uses less digits than its factorization.

105968541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36980.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 105968541 is about 10294.1022435179. The cubic root of 105968541 is about 473.2155257410.

The spelling of 105968541 in words is "one hundred five million, nine hundred sixty-eight thousand, five hundred forty-one".