103836100 has 27 divisors (see below), whose sum is σ = 225545677. Its totient is φ = 41493680.

The previous prime is 103836077. The next prime is 103836133. The reversal of 103836100 is 1638301.

The square root of 103836100 is 10190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37380996 + 66455104 = 6114^2 + 8152^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 101391 + ... + 102409.

Almost surely, 2^103836100 is an apocalyptic number.

103836100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103836100 is the 10190-th square number.

It is an amenable number.

103836100 is an abundant number, since it is smaller than the sum of its proper divisors (121709577).

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

103836100 is an equidigital number, since it uses as much as digits as its factorization.

103836100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 103836100 is about 470.0197667860.

The spelling of 103836100 in words is "one hundred three million, eight hundred thirty-six thousand, one hundred".