103353100 has 72 divisors (see below), whose sum is σ = 234516240. Its totient is φ = 39486720.

The previous prime is 103353083. The next prime is 103353121. The reversal of 103353100 is 1353301.

It is a super-2 number, since 2×103353100² = 21363726559220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455187 + ... + 455413.

It is an arithmetic number, because the mean of its divisors is an integer number (3257170).

Almost surely, 2^103353100 is an apocalyptic number.

103353100 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 103353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117258120).

103353100 is an abundant number, since it is smaller than the sum of its proper divisors (131163140).

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

103353100 is a wasteful number, since it uses less digits than its factorization.

103353100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 103353100 is about 10166.2726699612. The cubic root of 103353100 is about 469.2898585996.

The spelling of 103353100 in words is "one hundred three million, three hundred fifty-three thousand, one hundred".