2153766100 has 18 divisors (see below), whose sum is σ = 4673672654. Its totient is φ = 861506400.

The previous prime is 2153766089. The next prime is 2153766119. The reversal of 2153766100 is 16673512.

2153766100 is digitally balanced in base 2, 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 3 ways, for example, as 581484996 + 1572281104 = 24114^2 + 39652^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10768731 + ... + 10768930.

Almost surely, 2^2153766100 is an apocalyptic number.

2153766100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153766100 is an abundant number, since it is smaller than the sum of its proper divisors (2519906554).

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

2153766100 is a wasteful number, since it uses less digits than its factorization.

2153766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537675 (or 21537668 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2153766100 is about 46408.6856094848. The cubic root of 2153766100 is about 1291.4160481274.

The spelling of 2153766100 in words is "two billion, one hundred fifty-three million, seven hundred sixty-six thousand, one hundred".