103350100 has 72 divisors (see below), whose sum is σ = 257983488. Its totient is φ = 35203200.

The previous prime is 103350083. The next prime is 103350103. The reversal of 103350100 is 1053301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103350103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133314 + ... + 134086.

It is an arithmetic number, because the mean of its divisors is an integer number (3583104).

Almost surely, 2^103350100 is an apocalyptic number.

103350100 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 103350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128991744).

103350100 is an abundant number, since it is smaller than the sum of its proper divisors (154633388).

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

103350100 is a wasteful number, since it uses less digits than its factorization.

103350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 103350100 is about 10166.1251221889. The cubic root of 103350100 is about 469.2853179095.

The spelling of 103350100 in words is "one hundred three million, three hundred fifty thousand, one hundred".