10201600 has 60 divisors (see below), whose sum is σ = 25306974. Its totient is φ = 4075520.

The previous prime is 10201589. The next prime is 10201643. The reversal of 10201600 is 610201.

It can be written as a sum of positive squares in 3 ways, for example, as 7485696 + 2715904 = 2736^2 + 1648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12402 + ... + 13198.

Almost surely, 2^10201600 is an apocalyptic number.

10201600 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 10201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653487).

10201600 is an abundant number, since it is smaller than the sum of its proper divisors (15105374).

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

10201600 is an frugal number, since it uses more digits than its factorization.

10201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 804 counting only the distinct ones).

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

The square root of 10201600 is about 3193.9943644283. The cubic root of 10201600 is about 216.8816275551.

Adding to 10201600 its reverse (610201), we get a palindrome (10811801).

It can be divided in two parts, 10201 and 600, that added together give a palindrome (10801).

The spelling of 10201600 in words is "ten million, two hundred one thousand, six hundred".