105015104 has 56 divisors (see below), whose sum is σ = 220528896. Its totient is φ = 49536000.

The previous prime is 105015091. The next prime is 105015107. The reversal of 105015104 is 401510501.

It is a super-2 number, since 2×105015104² = 22056344136261632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105015107) 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, 80699 + ... + 81989.

It is an arithmetic number, because the mean of its divisors is an integer number (3938016).

Almost surely, 2^105015104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110264448).

105015104 is an abundant number, since it is smaller than the sum of its proper divisors (115513792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105015104 is a wasteful number, since it uses less digits than its factorization.

105015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105015104 is about 10247.6877391927. The cubic root of 105015104 is about 471.7920179153.

Adding to 105015104 its reverse (401510501), we get a palindrome (506525605).

The spelling of 105015104 in words is "one hundred five million, fifteen thousand, one hundred four".