103310820 has 108 divisors (see below), whose sum is σ = 321830964. Its totient is φ = 26818560.

The previous prime is 103310813. The next prime is 103310843. The reversal of 103310820 is 28013301.

It can be written as a sum of positive squares in 6 ways, for example, as 17489124 + 85821696 = 4182^2 + 9264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103310793 and 103310802.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1065012 + ... + 1065108.

Almost surely, 2^103310820 is an apocalyptic number.

103310820 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 103310820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160915482).

103310820 is an abundant number, since it is smaller than the sum of its proper divisors (218520144).

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

103310820 is a wasteful number, since it uses less digits than its factorization.

103310820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103310820 is about 10164.1930324055. The cubic root of 103310820 is about 469.2258570314.

The spelling of 103310820 in words is "one hundred three million, three hundred ten thousand, eight hundred twenty".