105105540631 has 8 divisors (see below), whose sum is σ = 129360665504. Its totient is φ = 83160427680.

The previous prime is 105105540629. The next prime is 105105540643. The reversal of 105105540631 is 136045501501.

It is a happy number.

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 105105540631 - 2¹ = 105105540629 is a prime.

It is a super-2 number, since 2×105105540631² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105105540593 and 105105540602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105540731) 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, 577502880 + ... + 577503061.

It is an arithmetic number, because the mean of its divisors is an integer number (16170083188).

Almost surely, 2^105105540631 is an apocalyptic number.

105105540631 is a deficient number, since it is larger than the sum of its proper divisors (24255124873).

105105540631 is a wasteful number, since it uses less digits than its factorization.

105105540631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155005961.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105105540631 in words is "one hundred five billion, one hundred five million, five hundred forty thousand, six hundred thirty-one".