100348008 has 64 divisors (see below), whose sum is σ = 271330560. Its totient is φ = 30806016.

The previous prime is 100348007. The next prime is 100348069. The reversal of 100348008 is 800843001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100348007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16560 + ... + 21792.

It is an arithmetic number, because the mean of its divisors is an integer number (4239540).

Almost surely, 2^100348008 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 100348008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135665280).

100348008 is an abundant number, since it is smaller than the sum of its proper divisors (170982552).

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

100348008 is a wasteful number, since it uses less digits than its factorization.

100348008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100348008 is about 10017.3852875888. The cubic root of 100348008 is about 464.6966966474.

The spelling of 100348008 in words is "one hundred million, three hundred forty-eight thousand, eight".