100404300100 has 144 divisors (see below), whose sum is σ = 248832104976. Its totient is φ = 34836480000.

The previous prime is 100404300091. The next prime is 100404300107. The reversal of 100404300100 is 1003404001.

It can be written as a sum of positive squares in 24 ways, for example, as 22363407936 + 78040892164 = 149544^2 + 279358^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100404300107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15488860 + ... + 15495340.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000729).

Almost surely, 2^100404300100 is an apocalyptic number.

100404300100 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 100404300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416052488).

100404300100 is an abundant number, since it is smaller than the sum of its proper divisors (148427804876).

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

100404300100 is a wasteful number, since it uses less digits than its factorization.

100404300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100404300100 its reverse (1003404001), we get a palindrome (101407704101).

The spelling of 100404300100 in words is "one hundred billion, four hundred four million, three hundred thousand, one hundred".