16168100 has 36 divisors (see below), whose sum is σ = 37786644. Its totient is φ = 5969280.

The previous prime is 16168093. The next prime is 16168147. The reversal of 16168100 is 186161.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5683456 + 10484644 = 2384^2 + 3238^2 .

It is a super-2 number, since 2×16168100² = 522814915220000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4919 + ... + 7518.

It is an arithmetic number, because the mean of its divisors is an integer number (1049629).

Almost surely, 2^16168100 is an apocalyptic number.

16168100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16168100 is an abundant number, since it is smaller than the sum of its proper divisors (21618544).

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

16168100 is a wasteful number, since it uses less digits than its factorization.

16168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12464 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 16168100 is about 4020.9575973890. The cubic root of 16168100 is about 252.8636071117.

It can be divided in two parts, 16 and 168100, that multiplied together give a square (2689600 = 1640²).

The spelling of 16168100 in words is "sixteen million, one hundred sixty-eight thousand, one hundred".