101168340 has 144 divisors (see below), whose sum is σ = 355001472. Its totient is φ = 21337344.

The previous prime is 101168297. The next prime is 101168341. The reversal of 101168340 is 43861101.

It is a self number, because there is not a number n which added to its sum of digits gives 101168340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101168341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36897 + ... + 39543.

It is an arithmetic number, because the mean of its divisors is an integer number (2465288).

Almost surely, 2^101168340 is an apocalyptic number.

101168340 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 101168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177500736).

101168340 is an abundant number, since it is smaller than the sum of its proper divisors (253833132).

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

101168340 is a wasteful number, since it uses less digits than its factorization.

101168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 101168340 is about 10058.2473622396. The cubic root of 101168340 is about 465.9595401640.

The spelling of 101168340 in words is "one hundred one million, one hundred sixty-eight thousand, three hundred forty".