101344200 has 96 divisors (see below), whose sum is σ = 318982560. Its totient is φ = 26611200.

The previous prime is 101344189. The next prime is 101344219. The reversal of 101344200 is 2443101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101344200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38940 + ... + 41460.

It is an arithmetic number, because the mean of its divisors is an integer number (3322735).

Almost surely, 2^101344200 is an apocalyptic number.

101344200 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 101344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159491280).

101344200 is an abundant number, since it is smaller than the sum of its proper divisors (217638360).

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

101344200 is a wasteful number, since it uses less digits than its factorization.

101344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101344200 is about 10066.9856461604. The cubic root of 101344200 is about 466.2293749427.

Adding to 101344200 its reverse (2443101), we get a palindrome (103787301).

The spelling of 101344200 in words is "one hundred one million, three hundred forty-four thousand, two hundred".