101340384 has 96 divisors (see below), whose sum is σ = 278964000. Its totient is φ = 32169984.

The previous prime is 101340377. The next prime is 101340389. The reversal of 101340384 is 483043101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101340389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247572 + ... + 247980.

It is an arithmetic number, because the mean of its divisors is an integer number (2905875).

Almost surely, 2^101340384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139482000).

101340384 is an abundant number, since it is smaller than the sum of its proper divisors (177623616).

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

101340384 is a wasteful number, since it uses less digits than its factorization.

101340384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 101340384 is about 10066.7961139580. The cubic root of 101340384 is about 466.2235230912.

Adding to 101340384 its reverse (483043101), we get a palindrome (584383485).

The spelling of 101340384 in words is "one hundred one million, three hundred forty thousand, three hundred eighty-four".