105405641 has 12 divisors (see below), whose sum is σ = 116110596. Its totient is φ = 95615520.

The previous prime is 105405617. The next prime is 105405647. The reversal of 105405641 is 146504501.

It can be written as a sum of positive squares in 2 ways, for example, as 84566416 + 20839225 = 9196^2 + 4565^2 .

It is not a de Polignac number, because 105405641 - 2⁶ = 105405577 is a prime.

It is a super-2 number, since 2×105405641² = 22220698309241762, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105405641.

It is not an unprimeable number, because it can be changed into a prime (105405647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95891 + ... + 96983.

It is an arithmetic number, because the mean of its divisors is an integer number (9675883).

Almost surely, 2^105405641 is an apocalyptic number.

105405641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105405641 is a deficient number, since it is larger than the sum of its proper divisors (10704955).

105405641 is a wasteful number, since it uses less digits than its factorization.

105405641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105405641 is about 10266.7249403108. The cubic root of 105405641 is about 472.3761380401.

The spelling of 105405641 in words is "one hundred five million, four hundred five thousand, six hundred forty-one".