103413024 has 336 divisors, whose sum is σ = 370185984. Its totient is φ = 27993600.

The previous prime is 103412963. The next prime is 103413031. The reversal of 103413024 is 420314301.

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 = 103412988 and 103413006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3335889 + ... + 3335919.

It is an arithmetic number, because the mean of its divisors is an integer number (1101744).

Almost surely, 2^103413024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185092992).

103413024 is an abundant number, since it is smaller than the sum of its proper divisors (266772960).

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

103413024 is a wasteful number, since it uses less digits than its factorization.

103413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103413024 is about 10169.2194390720. The cubic root of 103413024 is about 469.3805389703.

Adding to 103413024 its reverse (420314301), we get a palindrome (523727325).

The spelling of 103413024 in words is "one hundred three million, four hundred thirteen thousand, twenty-four".