101223400 has 48 divisors (see below), whose sum is σ = 239231340. Its totient is φ = 39820800.

The previous prime is 101223377. The next prime is 101223403. The reversal of 101223400 is 4322101.

It can be written as a sum of positive squares in 6 ways, for example, as 41036836 + 60186564 = 6406^2 + 7758^2 .

It is not an unprimeable number, because it can be changed into a prime (101223403) 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, 8052 + ... + 16348.

Almost surely, 2^101223400 is an apocalyptic number.

101223400 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 101223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119615670).

101223400 is an abundant number, since it is smaller than the sum of its proper divisors (138007940).

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

101223400 is a wasteful number, since it uses less digits than its factorization.

101223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 101223400 is about 10060.9840472988. The cubic root of 101223400 is about 466.0440563258.

Adding to 101223400 its reverse (4322101), we get a palindrome (105545501).

The spelling of 101223400 in words is "one hundred one million, two hundred twenty-three thousand, four hundred".