100648400 has 30 divisors (see below), whose sum is σ = 241808742. Its totient is φ = 40259200.

The previous prime is 100648369. The next prime is 100648417. The reversal of 100648400 is 4846001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 100560784 = 296^2 + 10028^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125411 + ... + 126210.

Almost surely, 2^100648400 is an apocalyptic number.

100648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100648400 is an abundant number, since it is smaller than the sum of its proper divisors (141160342).

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

100648400 is a wasteful number, since it uses less digits than its factorization.

100648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251639 (or 251628 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 100648400 is about 10032.3676168689. The cubic root of 100648400 is about 465.1599249507.

The spelling of 100648400 in words is "one hundred million, six hundred forty-eight thousand, four hundred".