105042131 has 8 divisors (see below), whose sum is σ = 108625104. Its totient is φ = 101518560.

The previous prime is 105042103. The next prime is 105042137. The reversal of 105042131 is 131240501.

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 105042131 - 2¹⁴ = 105025747 is a prime.

It is a super-2 number, since 2×105042131² = 22067698570042322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105042137) 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, 11240 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (13578138).

Almost surely, 2^105042131 is an apocalyptic number.

105042131 is a deficient number, since it is larger than the sum of its proper divisors (3582973).

105042131 is an equidigital number, since it uses as much as digits as its factorization.

105042131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29701.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105042131 is about 10249.0063420802. The cubic root of 105042131 is about 471.8324883767.

Adding to 105042131 its reverse (131240501), we get a palindrome (236282632).

The spelling of 105042131 in words is "one hundred five million, forty-two thousand, one hundred thirty-one".