16105408200 has 432 divisors, whose sum is σ = 65257854480. Its totient is φ = 3680691840.

The previous prime is 16105408199. The next prime is 16105408259. The reversal of 16105408200 is 280450161.

16105408200 is a `hidden beast` number, since 1 + 610 + 5 + 40 + 8 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2378019 + ... + 2384781.

Almost surely, 2^16105408200 is an apocalyptic number.

16105408200 is a gapful number since it is divisible by the number (10) 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 16105408200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32628927240).

16105408200 is an abundant number, since it is smaller than the sum of its proper divisors (49152446280).

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

16105408200 is a wasteful number, since it uses less digits than its factorization.

16105408200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 16105408200 its reverse (280450161), we get a palindrome (16385858361).

The spelling of 16105408200 in words is "sixteen billion, one hundred five million, four hundred eight thousand, two hundred".