101344400 has 30 divisors (see below), whose sum is σ = 243480882. Its totient is φ = 40537600.

The previous prime is 101344393. The next prime is 101344403. The reversal of 101344400 is 4443101.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 100320256 = 1012^2 + 10016^2 .

It is a super-2 number, since 2×101344400² = 20541374822720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101344403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126281 + ... + 127080.

Almost surely, 2^101344400 is an apocalyptic number.

101344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101344400 is an abundant number, since it is smaller than the sum of its proper divisors (142136482).

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

101344400 is a wasteful number, since it uses less digits than its factorization.

101344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253379 (or 253368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 101344400 is about 10066.9955796156. The cubic root of 101344400 is about 466.2296816394.

Adding to 101344400 its reverse (4443101), we get a palindrome (105787501).

The spelling of 101344400 in words is "one hundred one million, three hundred forty-four thousand, four hundred".