101384400 has 240 divisors, whose sum is σ = 358629824. Its totient is φ = 24330240.

The previous prime is 101384383. The next prime is 101384407. The reversal of 101384400 is 4483101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101384407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045152 + ... + 1045248.

Almost surely, 2^101384400 is an apocalyptic number.

101384400 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 101384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179314912).

101384400 is an abundant number, since it is smaller than the sum of its proper divisors (257245424).

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

101384400 is a wasteful number, since it uses less digits than its factorization.

101384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 101384400 is about 10068.9820736756. The cubic root of 101384400 is about 466.2910128830.

The spelling of 101384400 in words is "one hundred one million, three hundred eighty-four thousand, four hundred".