100065600 has 126 divisors (see below), whose sum is σ = 355707950. Its totient is φ = 26680320.

The previous prime is 100065583. The next prime is 100065619. The reversal of 100065600 is 6560001.

100065600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 65 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19927296 + 80138304 = 4464^2 + 8952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 10926 + ... + 17874.

Almost surely, 2^100065600 is an apocalyptic number.

100065600 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 100065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177853975).

100065600 is an abundant number, since it is smaller than the sum of its proper divisors (255642350).

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

100065600 is a wasteful number, since it uses less digits than its factorization.

100065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100065600 is about 10003.2794622564. The cubic root of 100065600 is about 464.2603572514.

The spelling of 100065600 in words is "one hundred million, sixty-five thousand, six hundred".