100201600 has 96 divisors (see below), whose sum is σ = 250335540. Its totient is φ = 39628800.

The previous prime is 100201571. The next prime is 100201657. The reversal of 100201600 is 6102001.

It can be written as a sum of positive squares in 6 ways, for example, as 26790976 + 73410624 = 5176^2 + 8568^2 .

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

It is an unprimeable number.

It is a 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, 553510 + ... + 553690.

Almost surely, 2^100201600 is an apocalyptic number.

100201600 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 100201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125167770).

100201600 is an abundant number, since it is smaller than the sum of its proper divisors (150133940).

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

100201600 is a wasteful number, since it uses less digits than its factorization.

100201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

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

The square root of 100201600 is about 10010.0749247945. The cubic root of 100201600 is about 464.4705887586.

Adding to 100201600 its reverse (6102001), we get a palindrome (106303601).

The spelling of 100201600 in words is "one hundred million, two hundred one thousand, six hundred".