103827220 has 48 divisors (see below), whose sum is σ = 252927360. Its totient is φ = 35063424.

The previous prime is 103827203. The next prime is 103827233. The reversal of 103827220 is 22728301.

It is a super-2 number, since 2×103827220² = 21560183225856800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3846 + ... + 14914.

It is an arithmetic number, because the mean of its divisors is an integer number (5269320).

Almost surely, 2^103827220 is an apocalyptic number.

103827220 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 103827220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126463680).

103827220 is an abundant number, since it is smaller than the sum of its proper divisors (149100140).

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

103827220 is a wasteful number, since it uses less digits than its factorization.

103827220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 103827220 is about 10189.5642693886. The cubic root of 103827220 is about 470.0063678027.

The spelling of 103827220 in words is "one hundred three million, eight hundred twenty-seven thousand, two hundred twenty".