101027808 has 108 divisors (see below), whose sum is σ = 334250280. Its totient is φ = 28861056.

The previous prime is 101027803. The next prime is 101027827. The reversal of 101027808 is 808720101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101027803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10533 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (3094910).

Almost surely, 2^101027808 is an apocalyptic number.

101027808 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 101027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167125140).

101027808 is an abundant number, since it is smaller than the sum of its proper divisors (233222472).

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

101027808 is a wasteful number, since it uses less digits than its factorization.

101027808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7189 (or 7171 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 101027808 is about 10051.2590256147. The cubic root of 101027808 is about 465.7436868322.

Adding to 101027808 its reverse (808720101), we get a palindrome (909747909).

The spelling of 101027808 in words is "one hundred one million, twenty-seven thousand, eight hundred eight".