101242400 has 144 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 34176000.

The previous prime is 101242391. The next prime is 101242403. The reversal of 101242400 is 4242101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101242403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565511 + ... + 565689.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^101242400 is an apocalyptic number.

101242400 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 101242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

101242400 is an abundant number, since it is smaller than the sum of its proper divisors (185614240).

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

101242400 is a wasteful number, since it uses less digits than its factorization.

101242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 101242400 is about 10061.9282446259. The cubic root of 101242400 is about 466.0732138892.

Adding to 101242400 its reverse (4242101), we get a palindrome (105484501).

The spelling of 101242400 in words is "one hundred one million, two hundred forty-two thousand, four hundred".