101008000 has 128 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 39347200.

The previous prime is 101007997. The next prime is 101008001. The reversal of 101008000 is 800101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943947 + ... + 944053.

Almost surely, 2^101008000 is an apocalyptic number.

101008000 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 101008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

101008000 is an abundant number, since it is smaller than the sum of its proper divisors (156766400).

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

101008000 is an equidigital number, since it uses as much as digits as its factorization.

101008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101008000 is about 10050.2736281158. The cubic root of 101008000 is about 465.7132461904.

Adding to 101008000 its reverse (800101), we get a palindrome (101808101).

The spelling of 101008000 in words is "one hundred one million, eight thousand".