10016200 has 48 divisors (see below), whose sum is σ = 23698260. Its totient is φ = 3936000.

The previous prime is 10016197. The next prime is 10016203. The reversal of 10016200 is 261001.

It is an interprime number because it is at equal distance from previous prime (10016197) and next prime (10016203).

It can be written as a sum of positive squares in 6 ways, for example, as 492804 + 9523396 = 702^2 + 3086^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10016203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11790 + ... + 12610.

Almost surely, 2^10016200 is an apocalyptic number.

10016200 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 10016200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849130).

10016200 is an abundant number, since it is smaller than the sum of its proper divisors (13682060).

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

10016200 is a wasteful number, since it uses less digits than its factorization.

10016200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10016200 is about 3164.8380685274. The cubic root of 10016200 is about 215.5597457096.

Adding to 10016200 its reverse (261001), we get a palindrome (10277201).

The spelling of 10016200 in words is "ten million, sixteen thousand, two hundred".