100844353600 has 189 divisors, whose sum is σ = 264160885063. Its totient is φ = 37883637760.

The previous prime is 100844353559. The next prime is 100844353601. The reversal of 100844353600 is 6353448001.

It is a happy number.

The square root of 100844353600 is 317560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2358850624 + 98485502976 = 48568^2 + 313824^2 .

It is a super-3 number, since 3×100844353600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100844353601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215940567 + ... + 215941033.

Almost surely, 2^100844353600 is an apocalyptic number.

100844353600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100844353600 is the 317560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100844353600

100844353600 is an abundant number, since it is smaller than the sum of its proper divisors (163316531463).

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

100844353600 is an frugal number, since it uses more digits than its factorization.

100844353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 100844353600 in words is "one hundred billion, eight hundred forty-four million, three hundred fifty-three thousand, six hundred".