103828100 has 36 divisors (see below), whose sum is σ = 229013988. Its totient is φ = 40848000.

The previous prime is 103828099. The next prime is 103828157. The reversal of 103828100 is 1828301.

It can be written as a sum of positive squares in 6 ways, for example, as 1898884 + 101929216 = 1378^2 + 10096^2 .

It is a super-2 number, since 2×103828100² = 21560548699220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2411 + ... + 14610.

Almost surely, 2^103828100 is an apocalyptic number.

103828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103828100 is an abundant number, since it is smaller than the sum of its proper divisors (125185888).

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

103828100 is a wasteful number, since it uses less digits than its factorization.

103828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 103828100 is about 10189.6074507314. The cubic root of 103828100 is about 470.0076956639.

The spelling of 103828100 in words is "one hundred three million, eight hundred twenty-eight thousand, one hundred".