101414400 has 240 divisors, whose sum is σ = 355185600. Its totient is φ = 25436160.

The previous prime is 101414377. The next prime is 101414431. The reversal of 101414400 is 4414101.

It is a tau number, because it is divible by the number of its divisors (240).

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 101414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729531 + ... + 729669.

It is an arithmetic number, because the mean of its divisors is an integer number (1479940).

Almost surely, 2^101414400 is an apocalyptic number.

101414400 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 101414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

101414400 is an abundant number, since it is smaller than the sum of its proper divisors (253771200).

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

101414400 is a wasteful number, since it uses less digits than its factorization.

101414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101414400 is about 10070.4716870661. The cubic root of 101414400 is about 466.3370007300.

Adding to 101414400 its reverse (4414101), we get a palindrome (105828501).

It can be divided in two parts, 10141 and 4400, that added together give a palindrome (14541).

The spelling of 101414400 in words is "one hundred one million, four hundred fourteen thousand, four hundred".