16202990100 has 288 divisors, whose sum is σ = 53196595200. Its totient is φ = 3772224000.

The previous prime is 16202990093. The next prime is 16202990101. The reversal of 16202990100 is 109920261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16202990101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15242169 + ... + 15243231.

It is an arithmetic number, because the mean of its divisors is an integer number (184710400).

Almost surely, 2^16202990100 is an apocalyptic number.

16202990100 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 16202990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598297600).

16202990100 is an abundant number, since it is smaller than the sum of its proper divisors (36993605100).

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

16202990100 is a wasteful number, since it uses less digits than its factorization.

16202990100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 16202990100 in words is "sixteen billion, two hundred two million, nine hundred ninety thousand, one hundred".