105193461 has 16 divisors (see below), whose sum is σ = 142300800. Its totient is φ = 69113088.

The previous prime is 105193423. The next prime is 105193471. The reversal of 105193461 is 164391501.

It is not a de Polignac number, because 105193461 - 2²⁶ = 38084597 is a prime.

It is a super-2 number, since 2×105193461² = 22131328474317042, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105193471) 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, 129625 + ... + 130433.

It is an arithmetic number, because the mean of its divisors is an integer number (8893800).

Almost surely, 2^105193461 is an apocalyptic number.

It is an amenable number.

105193461 is a deficient number, since it is larger than the sum of its proper divisors (37107339).

105193461 is an equidigital number, since it uses as much as digits as its factorization.

105193461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105193461 is about 10256.3863519273. The cubic root of 105193461 is about 472.0589630567.

The spelling of 105193461 in words is "one hundred five million, one hundred ninety-three thousand, four hundred sixty-one".