101820888 has 224 divisors, whose sum is σ = 330523200. Its totient is φ = 29113344.

The previous prime is 101820883. The next prime is 101820889. The reversal of 101820888 is 888028101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101820881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1288833 + ... + 1288911.

It is an arithmetic number, because the mean of its divisors is an integer number (1475550).

Almost surely, 2^101820888 is an apocalyptic number.

101820888 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 101820888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165261600).

101820888 is an abundant number, since it is smaller than the sum of its proper divisors (228702312).

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

101820888 is a wasteful number, since it uses less digits than its factorization.

101820888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 101820888 is about 10090.6336768312. The cubic root of 101820888 is about 466.9592256232.

Adding to 101820888 its reverse (888028101), we get a palindrome (989848989).

The spelling of 101820888 in words is "one hundred one million, eight hundred twenty thousand, eight hundred eighty-eight".