103853100 has 144 divisors (see below), whose sum is σ = 334423040. Its totient is φ = 24710400.

The previous prime is 103853093. The next prime is 103853159. The reversal of 103853100 is 1358301.

It is a happy number.

It is a super-2 number, since 2×103853100² = 21570932759220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120471 + ... + 121329.

Almost surely, 2^103853100 is an apocalyptic number.

103853100 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 103853100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167211520).

103853100 is an abundant number, since it is smaller than the sum of its proper divisors (230569940).

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

103853100 is a wasteful number, since it uses less digits than its factorization.

103853100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 103853100 is about 10190.8341169896. The cubic root of 103853100 is about 470.0454158618.

The spelling of 103853100 in words is "one hundred three million, eight hundred fifty-three thousand, one hundred".