105141520 has 80 divisors (see below), whose sum is σ = 268679232. Its totient is φ = 37946880.

The previous prime is 105141503. The next prime is 105141521. The reversal of 105141520 is 25141501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105141520² = 22109478455820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105141521) 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, 143074 + ... + 143806.

Almost surely, 2^105141520 is an apocalyptic number.

105141520 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 105141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134339616).

105141520 is an abundant number, since it is smaller than the sum of its proper divisors (163537712).

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

105141520 is a wasteful number, since it uses less digits than its factorization.

105141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105141520 is about 10253.8539096283. The cubic root of 105141520 is about 471.9812546419.

Subtracting from 105141520 its sum of digits (19), we obtain a palindrome (105141501).

The spelling of 105141520 in words is "one hundred five million, one hundred forty-one thousand, five hundred twenty".