105442431531 has 8 divisors (see below), whose sum is σ = 140591417664. Its totient is φ = 70294199880.

The previous prime is 105442431509. The next prime is 105442431547. The reversal of 105442431531 is 135134244501.

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

It is not a de Polignac number, because 105442431531 - 2²⁹ = 104905560619 is a prime.

It is a super-2 number, since 2×105442431531² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105442431492 and 105442431501.

It is not an unprimeable number, because it can be changed into a prime (105442431551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399000 + ... + 608346.

It is an arithmetic number, because the mean of its divisors is an integer number (17573927208).

Almost surely, 2^105442431531 is an apocalyptic number.

105442431531 is a deficient number, since it is larger than the sum of its proper divisors (35148986133).

105442431531 is a wasteful number, since it uses less digits than its factorization.

105442431531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377241.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 105442431531 in words is "one hundred five billion, four hundred forty-two million, four hundred thirty-one thousand, five hundred thirty-one".