101384000 has 224 divisors, whose sum is σ = 285292800. Its totient is φ = 35481600.

The previous prime is 101383999. The next prime is 101384027. The reversal of 101384000 is 483101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101384000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3495986 + ... + 3496014.

Almost surely, 2^101384000 is an apocalyptic number.

101384000 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 101384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

101384000 is an abundant number, since it is smaller than the sum of its proper divisors (183908800).

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

101384000 is a wasteful number, since it uses less digits than its factorization.

101384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101384000 is about 10068.9622106749. The cubic root of 101384000 is about 466.2903996504.

The spelling of 101384000 in words is "one hundred one million, three hundred eighty-four thousand".