115201020 has 96 divisors (see below), whose sum is σ = 367234560. Its totient is φ = 26709760.

The previous prime is 115201019. The next prime is 115201057. The reversal of 115201020 is 20102511.

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 = 115200987 and 115201005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11386 + ... + 18974.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 2^115201020 is an apocalyptic number.

115201020 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 115201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183617280).

115201020 is an abundant number, since it is smaller than the sum of its proper divisors (252033540).

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

115201020 is a wasteful number, since it uses less digits than its factorization.

115201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7633 counting only the distinct ones).

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

The square root of 115201020 is about 10733.1738083383. The cubic root of 115201020 is about 486.5775957171.

Adding to 115201020 its reverse (20102511), we get a palindrome (135303531).

The spelling of 115201020 in words is "one hundred fifteen million, two hundred one thousand, twenty".