2100146432 has 72 divisors (see below), whose sum is σ = 4257312696. Its totient is φ = 1033895936.

The previous prime is 2100146407. The next prime is 2100146441. The reversal of 2100146432 is 2346410012.

It can be written as a sum of positive squares in 4 ways, for example, as 685182976 + 1414963456 = 26176^2 + 37616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100146398 and 2100146407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8171648 + ... + 8171904.

It is an arithmetic number, because the mean of its divisors is an integer number (59129343).

Almost surely, 2^2100146432 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 2100146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128656348).

2100146432 is an abundant number, since it is smaller than the sum of its proper divisors (2157166264).

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

2100146432 is a wasteful number, since it uses less digits than its factorization.

2100146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2100146432 is about 45827.3546258127. The cubic root of 2100146432 is about 1280.6089290208.

Adding to 2100146432 its reverse (2346410012), we get a palindrome (4446556444).

The spelling of 2100146432 in words is "two billion, one hundred million, one hundred forty-six thousand, four hundred thirty-two".