105231137 has 8 divisors (see below), whose sum is σ = 115814880. Its totient is φ = 94816960.

The previous prime is 105231109. The next prime is 105231149. The reversal of 105231137 is 731132501.

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 105231137 - 2¹⁶ = 105165601 is a prime.

It is a super-2 number, since 2×105231137² = 22147184388625538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105231337) 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, 41087 + ... + 43572.

It is an arithmetic number, because the mean of its divisors is an integer number (14476860).

Almost surely, 2^105231137 is an apocalyptic number.

It is an amenable number.

105231137 is a deficient number, since it is larger than the sum of its proper divisors (10583743).

105231137 is a wasteful number, since it uses less digits than its factorization.

105231137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84783.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 105231137 is about 10258.2228967790. Note that the first 3 decimals coincide. The cubic root of 105231137 is about 472.1153137412.

Adding to 105231137 its reverse (731132501), we get a palindrome (836363638).

The spelling of 105231137 in words is "one hundred five million, two hundred thirty-one thousand, one hundred thirty-seven".