103133100 has 144 divisors (see below), whose sum is σ = 346588928. Its totient is φ = 23189760.

The previous prime is 103133099. The next prime is 103133117. The reversal of 103133100 is 1331301.

It is a super-2 number, since 2×103133100² = 21272872631220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140334 + ... + 141066.

Almost surely, 2^103133100 is an apocalyptic number.

103133100 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 103133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173294464).

103133100 is an abundant number, since it is smaller than the sum of its proper divisors (243455828).

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

103133100 is a wasteful number, since it uses less digits than its factorization.

103133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 103133100 is about 10155.4468143947. The cubic root of 103133100 is about 468.9566413364.

Adding to 103133100 its reverse (1331301), we get a palindrome (104464401).

The spelling of 103133100 in words is "one hundred three million, one hundred thirty-three thousand, one hundred".