105242531 has 8 divisors (see below), whose sum is σ = 108266928. Its totient is φ = 102240000.

The previous prime is 105242497. The next prime is 105242569. The reversal of 105242531 is 135242501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105242531 is a prime.

It is a super-2 number, since 2×105242531² = 22151980662571922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105242497 and 105242506.

It is not an unprimeable number, because it can be changed into a prime (105242831) 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, 4556 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (13533366).

Almost surely, 2^105242531 is an apocalyptic number.

105242531 is a deficient number, since it is larger than the sum of its proper divisors (3024397).

105242531 is a wasteful number, since it uses less digits than its factorization.

105242531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10933.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105242531 is about 10258.7782410967. The cubic root of 105242531 is about 472.1323527023.

The spelling of 105242531 in words is "one hundred five million, two hundred forty-two thousand, five hundred thirty-one".