105013120 has 128 divisors (see below), whose sum is σ = 266342400. Its totient is φ = 39536640.

The previous prime is 105013109. The next prime is 105013127. The reversal of 105013120 is 21310501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105013120² = 22055510744268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105013120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329241 + ... + 1329319.

It is an arithmetic number, because the mean of its divisors is an integer number (2080800).

Almost surely, 2^105013120 is an apocalyptic number.

105013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133171200).

105013120 is an abundant number, since it is smaller than the sum of its proper divisors (161329280).

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

105013120 is an equidigital number, since it uses as much as digits as its factorization.

105013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105013120 is about 10247.5909364104. The cubic root of 105013120 is about 471.7890467831.

Adding to 105013120 its reverse (21310501), we get a palindrome (126323621).

The spelling of 105013120 in words is "one hundred five million, thirteen thousand, one hundred twenty".