101630800 has 60 divisors (see below), whose sum is σ = 250163676. Its totient is φ = 39654400.

The previous prime is 101630783. The next prime is 101630807. The reversal of 101630800 is 8036101.

It can be written as a sum of positive squares in 6 ways, for example, as 21492496 + 80138304 = 4636^2 + 8952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101630807) 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, 13302 + ... + 19498.

Almost surely, 2^101630800 is an apocalyptic number.

101630800 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 101630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125081838).

101630800 is an abundant number, since it is smaller than the sum of its proper divisors (148532876).

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

101630800 is a wasteful number, since it uses less digits than its factorization.

101630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 101630800 is about 10081.2102448069. The cubic root of 101630800 is about 466.6684580430.

Adding to 101630800 its reverse (8036101), we get a palindrome (109666901).

The spelling of 101630800 in words is "one hundred one million, six hundred thirty thousand, eight hundred".