100706304 has 96 divisors (see below), whose sum is σ = 276363360. Its totient is φ = 32587776.

The previous prime is 100706297. The next prime is 100706339. The reversal of 100706304 is 403607001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227107 + ... + 227549.

It is an arithmetic number, because the mean of its divisors is an integer number (2878785).

Almost surely, 2^100706304 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 100706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138181680).

100706304 is an abundant number, since it is smaller than the sum of its proper divisors (175657056).

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

100706304 is an equidigital number, since it uses as much as digits as its factorization.

100706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 100706304 is about 10035.2530610842. The cubic root of 100706304 is about 465.2491115206.

The spelling of 100706304 in words is "one hundred million, seven hundred six thousand, three hundred four".