21430032100 has 27 divisors (see below), whose sum is σ = 46506346537. Its totient is φ = 8571427280.

The previous prime is 21430032089. The next prime is 21430032139. The reversal of 21430032100 is 123003412.

It is a happy number.

The square root of 21430032100 is 146390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7714811556 + 13715220544 = 87834^2 + 117112^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1456581 + ... + 1471219.

Almost surely, 2^21430032100 is an apocalyptic number.

21430032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21430032100 is the 146390-th square number.

It is an amenable number.

21430032100 is an abundant number, since it is smaller than the sum of its proper divisors (25076314437).

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

21430032100 is an frugal number, since it uses more digits than its factorization.

21430032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29292 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Multiplying 21430032100 by its sum of digits (16), we get a square (342880513600 = 585560²).

Multiplying 21430032100 by its product of nonzero digits (144), we get a square (3085924622400 = 1756680²).

Adding to 21430032100 its reverse (123003412), we get a palindrome (21553035512).

The spelling of 21430032100 in words is "twenty-one billion, four hundred thirty million, thirty-two thousand, one hundred".