103836330 has 192 divisors, whose sum is σ = 319213440. Its totient is φ = 24074496.

The previous prime is 103836307. The next prime is 103836347. The reversal of 103836330 is 33638301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103836294 and 103836303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600124 + ... + 600296.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 2^103836330 is an apocalyptic number.

103836330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103836330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

103836330 is an abundant number, since it is smaller than the sum of its proper divisors (215377110).

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

103836330 is a wasteful number, since it uses less digits than its factorization.

103836330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103836330 is about 10190.0112855678. The cubic root of 103836330 is about 470.0201138216.

The spelling of 103836330 in words is "one hundred three million, eight hundred thirty-six thousand, three hundred thirty".