103346100 has 324 divisors, whose sum is σ = 388699948. Its totient is φ = 22809600.

The previous prime is 103346041. The next prime is 103346101. The reversal of 103346100 is 1643301.

It can be written as a sum of positive squares in 6 ways, for example, as 9217296 + 94128804 = 3036^2 + 9702^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103346101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1415664 + ... + 1415736.

Almost surely, 2^103346100 is an apocalyptic number.

103346100 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 103346100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194349974).

103346100 is an abundant number, since it is smaller than the sum of its proper divisors (285353848).

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

103346100 is a wasteful number, since it uses less digits than its factorization.

103346100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103346100 is about 10165.9283884946. The cubic root of 103346100 is about 469.2792635194.

Adding to 103346100 its reverse (1643301), we get a palindrome (104989401).

The spelling of 103346100 in words is "one hundred three million, three hundred forty-six thousand, one hundred".