201105920 has 80 divisors (see below), whose sum is σ = 510657048. Its totient is φ = 75694080.

The previous prime is 201105889. The next prime is 201105953. The reversal of 201105920 is 29501102.

It can be written as a sum of positive squares in 4 ways, for example, as 173396224 + 27709696 = 13168^2 + 5264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201105892 and 201105901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41210 + ... + 45830.

Almost surely, 2^201105920 is an apocalyptic number.

201105920 is a gapful number since it is divisible by the number (20) 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 201105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255328524).

201105920 is an abundant number, since it is smaller than the sum of its proper divisors (309551128).

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

201105920 is an equidigital number, since it uses as much as digits as its factorization.

201105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 201105920 is about 14181.1818971481. The cubic root of 201105920 is about 585.8794768191.

The spelling of 201105920 in words is "two hundred one million, one hundred five thousand, nine hundred twenty".