103436820 has 72 divisors (see below), whose sum is σ = 315459144. Its totient is φ = 27433728.

The previous prime is 103436813. The next prime is 103436821. The reversal of 103436820 is 28634301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 74857104 + 28579716 = 8652^2 + 5346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103436821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34002 + ... + 36918.

It is an arithmetic number, because the mean of its divisors is an integer number (4381377).

Almost surely, 2^103436820 is an apocalyptic number.

103436820 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 103436820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157729572).

103436820 is an abundant number, since it is smaller than the sum of its proper divisors (212022324).

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

103436820 is a wasteful number, since it uses less digits than its factorization.

103436820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103436820 is about 10170.3893730771. The cubic root of 103436820 is about 469.4165386999.

The spelling of 103436820 in words is "one hundred three million, four hundred thirty-six thousand, eight hundred twenty".