103136824 has 64 divisors (see below), whose sum is σ = 236079360. Its totient is φ = 41233920.

The previous prime is 103136821. The next prime is 103136837. The reversal of 103136824 is 428631301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 103136792 and 103136801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103136821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124299 + ... + 125125.

It is an arithmetic number, because the mean of its divisors is an integer number (3688740).

Almost surely, 2^103136824 is an apocalyptic number.

103136824 is a gapful number since it is divisible by the number (14) 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 103136824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118039680).

103136824 is an abundant number, since it is smaller than the sum of its proper divisors (132942536).

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

103136824 is a wasteful number, since it uses less digits than its factorization.

103136824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

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

The square root of 103136824 is about 10155.6301626241. The cubic root of 103136824 is about 468.9622857367.

The spelling of 103136824 in words is "one hundred three million, one hundred thirty-six thousand, eight hundred twenty-four".