105315431 has 16 divisors (see below), whose sum is σ = 116993184. Its totient is φ = 94172544.

The previous prime is 105315409. The next prime is 105315433. The reversal of 105315431 is 134513501.

It is a cyclic number.

It is not a de Polignac number, because 105315431 - 2¹⁸ = 105053287 is a prime.

It is a super-2 number, since 2×105315431² = 22182680013431522, 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 = 105315397 and 105315406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105315433) 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, 179120 + ... + 179706.

It is an arithmetic number, because the mean of its divisors is an integer number (7312074).

Almost surely, 2^105315431 is an apocalyptic number.

105315431 is a deficient number, since it is larger than the sum of its proper divisors (11677753).

105315431 is a wasteful number, since it uses less digits than its factorization.

105315431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105315431 is about 10262.3306806982. The cubic root of 105315431 is about 472.2413406567.

Adding to 105315431 its reverse (134513501), we get a palindrome (239828932).

The spelling of 105315431 in words is "one hundred five million, three hundred fifteen thousand, four hundred thirty-one".