105615631 has 8 divisors (see below), whose sum is σ = 118027728. Its totient is φ = 93672000.

The previous prime is 105615619. The next prime is 105615641. The reversal of 105615631 is 136516501.

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 105615631 - 2¹⁵ = 105582863 is a prime.

It is a super-2 number, since 2×105615631² = 22309323023056322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105615631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105615641) 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, 116640 + ... + 117541.

It is an arithmetic number, because the mean of its divisors is an integer number (14753466).

Almost surely, 2^105615631 is an apocalyptic number.

105615631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105615631 is a deficient number, since it is larger than the sum of its proper divisors (12412097).

105615631 is a wasteful number, since it uses less digits than its factorization.

105615631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234233.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 105615631 is about 10276.9465796023. The cubic root of 105615631 is about 472.6896205230.

The spelling of 105615631 in words is "one hundred five million, six hundred fifteen thousand, six hundred thirty-one".