2106152136 has 216 divisors, whose sum is σ = 6568661190. Its totient is φ = 609143040.

The previous prime is 2106152123. The next prime is 2106152149. The reversal of 2106152136 is 6312516012.

2106152136 is a `hidden beast` number, since 2 + 10 + 615 + 2 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (2106152123) and next prime (2106152149).

It can be written as a sum of positive squares in only one way, i.e., 1440202500 + 665949636 = 37950^2 + 25806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4608420 + ... + 4608876.

Almost surely, 2^2106152136 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 2106152136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284330595).

2106152136 is an abundant number, since it is smaller than the sum of its proper divisors (4462509054).

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

2106152136 is a wasteful number, since it uses less digits than its factorization.

2106152136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2106152136 is about 45892.8331659748. The cubic root of 2106152136 is about 1281.8284691603.

Adding to 2106152136 its reverse (6312516012), we get a palindrome (8418668148).

The spelling of 2106152136 in words is "two billion, one hundred six million, one hundred fifty-two thousand, one hundred thirty-six".