105011431 has 8 divisors (see below), whose sum is σ = 127072800. Its totient is φ = 84715008.

The previous prime is 105011411. The next prime is 105011453. The reversal of 105011431 is 134110501.

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

It is a de Polignac number, because none of the positive numbers 2^k-105011431 is a prime.

It is a super-2 number, since 2×105011431² = 22054801281335522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441106 + ... + 441343.

It is an arithmetic number, because the mean of its divisors is an integer number (15884100).

Almost surely, 2^105011431 is an apocalyptic number.

105011431 is a deficient number, since it is larger than the sum of its proper divisors (22061369).

105011431 is an equidigital number, since it uses as much as digits as its factorization.

105011431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882473.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105011431 is about 10247.5085264663. The cubic root of 105011431 is about 471.7865173977.

Adding to 105011431 its reverse (134110501), we get a palindrome (239121932).

It can be divided in two parts, 1050 and 11431, that multiplied together give a triangular number (12002550 = T₄₈₉₉).

The spelling of 105011431 in words is "one hundred five million, eleven thousand, four hundred thirty-one".