101408384 has 64 divisors (see below), whose sum is σ = 251899200. Its totient is φ = 39505920.

The previous prime is 101408381. The next prime is 101408393. The reversal of 101408384 is 483804101.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (101408381) 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 7 ways as a sum of consecutive naturals, for example, 4712 + ... + 15000.

It is an arithmetic number, because the mean of its divisors is an integer number (3935925).

Almost surely, 2^101408384 is an apocalyptic number.

101408384 is a gapful number since it is divisible by the number (14) 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 101408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125949600).

101408384 is an abundant number, since it is smaller than the sum of its proper divisors (150490816).

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

101408384 is a wasteful number, since it uses less digits than its factorization.

101408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 101408384 is about 10070.1729875906. The cubic root of 101408384 is about 466.3277793608.

The spelling of 101408384 in words is "one hundred one million, four hundred eight thousand, three hundred eighty-four".