21032102160 has 360 divisors, whose sum is σ = 76308143496. Its totient is φ = 5188976640.

The previous prime is 21032102159. The next prime is 21032102219. The reversal of 21032102160 is 6120123012.

It can be written as a sum of positive squares in 12 ways, for example, as 5994475776 + 15037626384 = 77424^2 + 122628^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12692052 + ... + 12693708.

Almost surely, 2^21032102160 is an apocalyptic number.

21032102160 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 21032102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38154071748).

21032102160 is an abundant number, since it is smaller than the sum of its proper divisors (55276041336).

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

21032102160 is a wasteful number, since it uses less digits than its factorization.

21032102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21032102160 its reverse (6120123012), we get a palindrome (27152225172).

The spelling of 21032102160 in words is "twenty-one billion, thirty-two million, one hundred two thousand, one hundred sixty".