215412414100 has 72 divisors (see below), whose sum is σ = 506781235800. Its totient is φ = 79003015680.

The previous prime is 215412414031. The next prime is 215412414121. The reversal of 215412414100 is 1414214512.

215412414100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 169444196496 + 45968217604 = 411636^2 + 214402^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362347 + ... + 749746.

It is an arithmetic number, because the mean of its divisors is an integer number (7038628275).

Almost surely, 2^215412414100 is an apocalyptic number.

215412414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215412414100 is an abundant number, since it is smaller than the sum of its proper divisors (291368821700).

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

215412414100 is a wasteful number, since it uses less digits than its factorization.

215412414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112269 (or 1112262 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 215412414100 its reverse (1414214512), we get a palindrome (216826628612).

The spelling of 215412414100 in words is "two hundred fifteen billion, four hundred twelve million, four hundred fourteen thousand, one hundred".