210152096 has 192 divisors, whose sum is σ = 568270080. Its totient is φ = 73973760.

The previous prime is 210152093. The next prime is 210152171. The reversal of 210152096 is 690251012.

It is not an unprimeable number, because it can be changed into a prime (210152093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214666 + ... + 1214838.

It is an arithmetic number, because the mean of its divisors is an integer number (2959740).

Almost surely, 2^210152096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284135040).

210152096 is an abundant number, since it is smaller than the sum of its proper divisors (358117984).

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

210152096 is a wasteful number, since it uses less digits than its factorization.

210152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 210152096 is about 14496.6236068955. The cubic root of 210152096 is about 594.5356601309.

The spelling of 210152096 in words is "two hundred ten million, one hundred fifty-two thousand, ninety-six".