16434106100 has 18 divisors (see below), whose sum is σ = 35662010454. Its totient is φ = 6573642400.

The previous prime is 16434106097. The next prime is 16434106103. The reversal of 16434106100 is 160143461.

It is an interprime number because it is at equal distance from previous prime (16434106097) and next prime (16434106103).

It can be written as a sum of positive squares in 3 ways, for example, as 59320804 + 16374785296 = 7702^2 + 127964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16434106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434106103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 82170431 + ... + 82170630.

It is an arithmetic number, because the mean of its divisors is an integer number (1981222803).

Almost surely, 2^16434106100 is an apocalyptic number.

16434106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16434106100 is an abundant number, since it is smaller than the sum of its proper divisors (19227904354).

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

16434106100 is a wasteful number, since it uses less digits than its factorization.

16434106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164341075 (or 164341068 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 16434106100 its reverse (160143461), we get a palindrome (16594249561).

The spelling of 16434106100 in words is "sixteen billion, four hundred thirty-four million, one hundred six thousand, one hundred".