105525420 has 288 divisors, whose sum is σ = 405409536. Its totient is φ = 20160000.

The previous prime is 105525419. The next prime is 105525421. The reversal of 105525420 is 24525501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105525419) and next prime (105525421).

It is a super-2 number, since 2×105525420² = 22271228532352800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105525421) 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 95 ways as a sum of consecutive naturals, for example, 420295 + ... + 420545.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 2^105525420 is an apocalyptic number.

105525420 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 105525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202704768).

105525420 is an abundant number, since it is smaller than the sum of its proper divisors (299884116).

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

105525420 is a wasteful number, since it uses less digits than its factorization.

105525420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105525420 is about 10272.5566437961. The cubic root of 105525420 is about 472.5550004562. Note that the first 3 decimals are identical.

It can be divided in two parts, 105 and 525420, that added together give a palindrome (525525).

The spelling of 105525420 in words is "one hundred five million, five hundred twenty-five thousand, four hundred twenty".