101388 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 26880.

The previous prime is 101383. The next prime is 101399. The reversal of 101388 is 883101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101388.

It is not an unprimeable number, because it can be changed into a prime (101383) by changing a digit.

101388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2¹⁰¹³⁸⁸ 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 101388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

101388 is an abundant number, since it is smaller than the sum of its proper divisors (188916).

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

101388 is a wasteful number, since it uses less digits than its factorization.

101388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101388 is about 318.4148237755. The cubic root of 101388 is about 46.6296531904.

Adding to 101388 its reverse (883101), we get a palindrome (984489).

The spelling of 101388 in words is "one hundred one thousand, three hundred eighty-eight".