103662820 has 48 divisors (see below), whose sum is σ = 226275840. Its totient is φ = 39844224.

The previous prime is 103662781. The next prime is 103662829. The reversal of 103662820 is 28266301.

103662820 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103662820³ (a number of 25 digits) contains 333 as substring.

103662820 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (103662829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212617 + ... + 213103.

It is an arithmetic number, because the mean of its divisors is an integer number (4714080).

Almost surely, 2^103662820 is an apocalyptic number.

103662820 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 103662820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113137920).

103662820 is an abundant number, since it is smaller than the sum of its proper divisors (122613020).

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

103662820 is a wasteful number, since it uses less digits than its factorization.

103662820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 103662820 is about 10181.4939964624. The cubic root of 103662820 is about 469.7581674259.

The spelling of 103662820 in words is "one hundred three million, six hundred sixty-two thousand, eight hundred twenty".