101640240 has 120 divisors (see below), whose sum is σ = 367632720. Its totient is φ = 25016832.

The previous prime is 101640193. The next prime is 101640251. The reversal of 101640240 is 42046101.

101640240 is a `hidden beast` number, since 1 + 0 + 1 + 640 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3931 + ... + 14789.

It is an arithmetic number, because the mean of its divisors is an integer number (3063606).

Almost surely, 2^101640240 is an apocalyptic number.

101640240 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 101640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183816360).

101640240 is an abundant number, since it is smaller than the sum of its proper divisors (265992480).

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

101640240 is a wasteful number, since it uses less digits than its factorization.

101640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101640240 is about 10081.6784316898. The cubic root of 101640240 is about 466.6829064643.

Adding to 101640240 its reverse (42046101), we get a palindrome (143686341).

The spelling of 101640240 in words is "one hundred one million, six hundred forty thousand, two hundred forty".