103434120 has 96 divisors (see below), whose sum is σ = 355956120. Its totient is φ = 25958400.

The previous prime is 103434113. The next prime is 103434173. The reversal of 103434120 is 21434301.

It can be written as a sum of positive squares in 4 ways, for example, as 102941316 + 492804 = 10146^2 + 702^2 .

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 = 103434093 and 103434102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331 + ... + 14570.

Almost surely, 2^103434120 is an apocalyptic number.

103434120 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 103434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177978060).

103434120 is an abundant number, since it is smaller than the sum of its proper divisors (252522000).

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

103434120 is a wasteful number, since it uses less digits than its factorization.

103434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16928 counting only the distinct ones).

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

The square root of 103434120 is about 10170.2566339301. The cubic root of 103434120 is about 469.4124542882.

Adding to 103434120 its reverse (21434301), we get a palindrome (124868421).

The spelling of 103434120 in words is "one hundred three million, four hundred thirty-four thousand, one hundred twenty".