100303223100 has 288 divisors, whose sum is σ = 308860231680. Its totient is φ = 25080380160.

The previous prime is 100303223093. The next prime is 100303223107. The reversal of 100303223100 is 1322303001.

It is an interprime number because it is at equal distance from previous prime (100303223093) and next prime (100303223107).

It is a super-2 number, since 2×100303223100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100303223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303223107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76044241 + ... + 76045559.

It is an arithmetic number, because the mean of its divisors is an integer number (1072431360).

Almost surely, 2^100303223100 is an apocalyptic number.

100303223100 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 100303223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

100303223100 is an abundant number, since it is smaller than the sum of its proper divisors (208557008580).

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

100303223100 is a wasteful number, since it uses less digits than its factorization.

100303223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100303223100 its reverse (1322303001), we get a palindrome (101625526101).

The spelling of 100303223100 in words is "one hundred billion, three hundred three million, two hundred twenty-three thousand, one hundred".