105032015441 has 16 divisors (see below), whose sum is σ = 110059482240. Its totient is φ = 100043328000.

The previous prime is 105032015423. The next prime is 105032015449. The reversal of 105032015441 is 144510230501.

It is a cyclic number.

It is not a de Polignac number, because 105032015441 - 2²² = 105027821137 is a prime.

It is a super-3 number, since 3×105032015441³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105032015441.

It is not an unprimeable number, because it can be changed into a prime (105032015449) 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, 24752066 + ... + 24756308.

It is an arithmetic number, because the mean of its divisors is an integer number (6878717640).

Almost surely, 2^105032015441 is an apocalyptic number.

It is an amenable number.

105032015441 is a deficient number, since it is larger than the sum of its proper divisors (5027466799).

105032015441 is a wasteful number, since it uses less digits than its factorization.

105032015441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 105032015441 its reverse (144510230501), we get a palindrome (249542245942).

The spelling of 105032015441 in words is "one hundred five billion, thirty-two million, fifteen thousand, four hundred forty-one".