101603008 has 56 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 45265920.

The previous prime is 101602997. The next prime is 101603009. The reversal of 101603008 is 800306101.

It is not an unprimeable number, because it can be changed into a prime (101603009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22023 + ... + 26233.

It is an arithmetic number, because the mean of its divisors is an integer number (4011930).

Almost surely, 2^101603008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101603008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

101603008 is an abundant number, since it is smaller than the sum of its proper divisors (123065072).

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

101603008 is a wasteful number, since it uses less digits than its factorization.

101603008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 101603008 is about 10079.8317446275. The cubic root of 101603008 is about 466.6259157160.

Adding to 101603008 its reverse (800306101), we get a palindrome (901909109).

The spelling of 101603008 in words is "one hundred one million, six hundred three thousand, eight".