2145152100 has 144 divisors (see below), whose sum is σ = 7639038848. Its totient is φ = 452597760.

The previous prime is 2145152077. The next prime is 2145152129. The reversal of 2145152100 is 12515412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11989 + ... + 66588.

Almost surely, 2^2145152100 is an apocalyptic number.

2145152100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819519424).

2145152100 is an abundant number, since it is smaller than the sum of its proper divisors (5493886748).

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

2145152100 is a wasteful number, since it uses less digits than its factorization.

2145152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78614 (or 78607 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2145152100 is about 46315.7867254784. The cubic root of 2145152100 is about 1289.6920724071.

Adding to 2145152100 its reverse (12515412), we get a palindrome (2157667512).

The spelling of 2145152100 in words is "two billion, one hundred forty-five million, one hundred fifty-two thousand, one hundred".