101640 has 96 divisors (see below), whose sum is σ = 383040. Its totient is φ = 21120.

The previous prime is 101627. The next prime is 101641. The reversal of 101640 is 46101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101641) by changing a digit.

101640 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 23 ways as a sum of consecutive naturals, for example, 9235 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2¹⁰¹⁶⁴⁰ is an apocalyptic number.

101640 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 101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

101640 is an abundant number, since it is smaller than the sum of its proper divisors (281400).

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

101640 is a wasteful number, since it uses less digits than its factorization.

101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101640 is about 318.8102884162. The cubic root of 101640 is about 46.6682539143.

Adding to 101640 its reverse (46101), we get a palindrome (147741).

It can be divided in two parts, 101 and 640, that added together give a triangular number (741 = T₃₈).

The spelling of 101640 in words is "one hundred one thousand, six hundred forty".