101376 has 66 divisors (see below), whose sum is σ = 319332. Its totient is φ = 30720.

The previous prime is 101363. The next prime is 101377. The reversal of 101376 is 673101.

It is a tau number, because it is divible by the number of its divisors (66).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (101377) by changing a digit.

101376 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 5 ways as a sum of consecutive naturals, for example, 9211 + ... + 9221.

2¹⁰¹³⁷⁶ is an apocalyptic number.

101376 is a gapful number since it is divisible by the number (16) 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 101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159666).

101376 is an abundant number, since it is smaller than the sum of its proper divisors (217956).

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

101376 is a wasteful number, since it uses less digits than its factorization.

101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 101376 is about 318.3959798741. The cubic root of 101376 is about 46.6278134660.

Adding to 101376 its reverse (673101), we get a palindrome (774477).

It can be divided in two parts, 1013 and 76, that added together give a square (1089 = 33²).

The spelling of 101376 in words is "one hundred one thousand, three hundred seventy-six".