100304013040 has 320 divisors, whose sum is σ = 295227389952. Its totient is φ = 30786048000.

The previous prime is 100304012993. The next prime is 100304013053. The reversal of 100304013040 is 40310403001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163627774 + ... + 163628386.

Almost surely, 2^100304013040 is an apocalyptic number.

100304013040 is a gapful number since it is divisible by the number (10) 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 100304013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147613694976).

100304013040 is an abundant number, since it is smaller than the sum of its proper divisors (194923376912).

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

100304013040 is a wasteful number, since it uses less digits than its factorization.

100304013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100304013040 its reverse (40310403001), we get a palindrome (140614416041).

The spelling of 100304013040 in words is "one hundred billion, three hundred four million, thirteen thousand, forty".