100319045904 has 480 divisors, whose sum is σ = 368381564928. Its totient is φ = 24916320000.

The previous prime is 100319045873. The next prime is 100319045923. The reversal of 100319045904 is 409540913001.

It is a happy number.

100319045904 is a `hidden beast` number, since 10 + 0 + 3 + 190 + 459 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30856279 + ... + 30859529.

Almost surely, 2^100319045904 is an apocalyptic number.

100319045904 is a gapful number since it is divisible by the number (14) 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 100319045904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184190782464).

100319045904 is an abundant number, since it is smaller than the sum of its proper divisors (268062519024).

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

100319045904 is a wasteful number, since it uses less digits than its factorization.

100319045904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 100319045904 its reverse (409540913001), we get a palindrome (509859958905).

The spelling of 100319045904 in words is "one hundred billion, three hundred nineteen million, forty-five thousand, nine hundred four".