105112461 has 8 divisors (see below), whose sum is σ = 146243520. Its totient is φ = 67028192.

The previous prime is 105112433. The next prime is 105112493. The reversal of 105112461 is 164211501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105112461 - 2¹⁴ = 105096077 is a prime.

It is a super-2 number, since 2×105112461² = 22097258914953042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761616 + ... + 761753.

It is an arithmetic number, because the mean of its divisors is an integer number (18280440).

Almost surely, 2^105112461 is an apocalyptic number.

It is an amenable number.

105112461 is a deficient number, since it is larger than the sum of its proper divisors (41131059).

105112461 is a wasteful number, since it uses less digits than its factorization.

105112461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523395.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105112461 is about 10252.4368322853. The cubic root of 105112461 is about 471.9377685956.

Adding to 105112461 its reverse (164211501), we get a palindrome (269323962).

The spelling of 105112461 in words is "one hundred five million, one hundred twelve thousand, four hundred sixty-one".