101613168 has 60 divisors (see below), whose sum is σ = 285324000. Its totient is φ = 33758208.

The previous prime is 101613167. The next prime is 101613203. The reversal of 101613168 is 861316101.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101613167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49833 + ... + 51831.

It is an arithmetic number, because the mean of its divisors is an integer number (4755400).

Almost surely, 2^101613168 is an apocalyptic number.

101613168 is a gapful number since it is divisible by the number (18) 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 101613168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142662000).

101613168 is an abundant number, since it is smaller than the sum of its proper divisors (183710832).

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

101613168 is a wasteful number, since it uses less digits than its factorization.

101613168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101613168 is about 10080.3357086954. The cubic root of 101613168 is about 466.6414689343.

Adding to 101613168 its reverse (861316101), we get a palindrome (962929269).

The spelling of 101613168 in words is "one hundred one million, six hundred thirteen thousand, one hundred sixty-eight".