100090008 has 96 divisors (see below), whose sum is σ = 278787600. Its totient is φ = 32431104.

The previous prime is 100090007. The next prime is 100090031. The reversal of 100090008 is 800090001.

Added to its reverse (800090001) it gives a square (900180009 = 30003²).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720003 + ... + 720141.

Almost surely, 2^100090008 is an apocalyptic number.

100090008 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 100090008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139393800).

100090008 is an abundant number, since it is smaller than the sum of its proper divisors (178697592).

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

100090008 is a wasteful number, since it uses less digits than its factorization.

100090008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100090008 is about 10004.4993877755. The cubic root of 100090008 is about 464.2981016430.

Adding to 100090008 its sum of digits (18), we get a triangular number (100090026 = T₁₄₁₄₈).

Adding to 100090008 its reverse (800090001), we get a square (900180009 = 30003²).

The spelling of 100090008 in words is "one hundred million, ninety thousand, eight".