105201120 has 48 divisors (see below), whose sum is σ = 331385040. Its totient is φ = 28053504.

The previous prime is 105201113. The next prime is 105201133. The reversal of 105201120 is 21102501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105201120² = 22134551298508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 105201096 and 105201105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109105 + ... + 110064.

It is an arithmetic number, because the mean of its divisors is an integer number (6903855).

Almost surely, 2^105201120 is an apocalyptic number.

105201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105201120 is an abundant number, since it is smaller than the sum of its proper divisors (226183920).

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

105201120 is a wasteful number, since it uses less digits than its factorization.

105201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219187 (or 219179 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105201120 is about 10256.7597222515. The cubic root of 105201120 is about 472.0704194464.

Adding to 105201120 its reverse (21102501), we get a palindrome (126303621).

The spelling of 105201120 in words is "one hundred five million, two hundred one thousand, one hundred twenty".