100319904 has 96 divisors (see below), whose sum is σ = 297138240. Its totient is φ = 32921856.

The previous prime is 100319899. The next prime is 100319909. The reversal of 100319904 is 409913001.

It is an interprime number because it is at equal distance from previous prime (100319899) and next prime (100319909).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100319909) 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 15 ways as a sum of consecutive naturals, for example, 57022 + ... + 58754.

It is an arithmetic number, because the mean of its divisors is an integer number (3095190).

Almost surely, 2^100319904 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 100319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148569120).

100319904 is an abundant number, since it is smaller than the sum of its proper divisors (196818336).

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

100319904 is a wasteful number, since it uses less digits than its factorization.

100319904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 100319904 is about 10015.9824280996. The cubic root of 100319904 is about 464.6533107825.

The spelling of 100319904 in words is "one hundred million, three hundred nineteen thousand, nine hundred four".