100103310 has 128 divisors (see below), whose sum is σ = 286623360. Its totient is φ = 24772608.

The previous prime is 100103281. The next prime is 100103329. The reversal of 100103310 is 13301001.

It is a super-2 number, since 2×100103310² = 20041345345912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100103292 and 100103301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518574 + ... + 518766.

It is an arithmetic number, because the mean of its divisors is an integer number (2239245).

Almost surely, 2^100103310 is an apocalyptic number.

100103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143311680).

100103310 is an abundant number, since it is smaller than the sum of its proper divisors (186520050).

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

100103310 is a wasteful number, since it uses less digits than its factorization.

100103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100103310 is about 10005.1641665692. The cubic root of 100103310 is about 464.3186691965.

Adding to 100103310 its reverse (13301001), we get a palindrome (113404311).

The spelling of 100103310 in words is "one hundred million, one hundred three thousand, three hundred ten".