20360168100 has 252 divisors, whose sum is σ = 69127825536. Its totient is φ = 5192890560.

The previous prime is 20360168089. The next prime is 20360168111. The reversal of 20360168100 is 186106302.

It is an interprime number because it is at equal distance from previous prime (20360168089) and next prime (20360168111).

It is a super-2 number, since 2×20360168100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1670629 + ... + 1682771.

It is an arithmetic number, because the mean of its divisors is an integer number (274316768).

Almost surely, 2^20360168100 is an apocalyptic number.

20360168100 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 20360168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34563912768).

20360168100 is an abundant number, since it is smaller than the sum of its proper divisors (48767657436).

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

20360168100 is a wasteful number, since it uses less digits than its factorization.

20360168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20360168100 in words is "twenty billion, three hundred sixty million, one hundred sixty-eight thousand, one hundred".