2015112100 has 45 divisors (see below), whose sum is σ = 4439047697. Its totient is φ = 794014320.

The previous prime is 2015112083. The next prime is 2015112107. The reversal of 2015112100 is 12115102.

The square root of 2015112100 is 44890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 725440356 + 1289671744 = 26934^2 + 35912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2015112107) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 30076267 + ... + 30076333.

Almost surely, 2^2015112100 is an apocalyptic number.

2015112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2015112100 is the 44890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2015112100

2015112100 is an abundant number, since it is smaller than the sum of its proper divisors (2423935597).

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

2015112100 is an frugal number, since it uses more digits than its factorization.

2015112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The cubic root of 2015112100 is about 1263.0864327841.

Adding to 2015112100 its reverse (12115102), we get a palindrome (2027227202).

The spelling of 2015112100 in words is "two billion, fifteen million, one hundred twelve thousand, one hundred".