100534400 has 96 divisors (see below), whose sum is σ = 251853300. Its totient is φ = 39649280.

The previous prime is 100534351. The next prime is 100534409. The reversal of 100534400 is 4435001.

It can be written as a sum of positive squares in 6 ways, for example, as 17505856 + 83028544 = 4184^2 + 9112^2 .

It is not an unprimeable number, because it can be changed into a prime (100534409) 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, 284624 + ... + 284976.

Almost surely, 2^100534400 is an apocalyptic number.

100534400 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 100534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125926650).

100534400 is an abundant number, since it is smaller than the sum of its proper divisors (151318900).

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

100534400 is an equidigital number, since it uses as much as digits as its factorization.

100534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 100534400 is about 10026.6843971474. The cubic root of 100534400 is about 464.9842365643.

Adding to 100534400 its reverse (4435001), we get a palindrome (104969401).

The spelling of 100534400 in words is "one hundred million, five hundred thirty-four thousand, four hundred".