103414720 has 112 divisors (see below), whose sum is σ = 263895840. Its totient is φ = 38486016.

The previous prime is 103414697. The next prime is 103414721. The reversal of 103414720 is 27414301.

It is a junction number, because it is equal to n+sod(n) for n = 103414691 and 103414700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103414721) 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, 443724 + ... + 443956.

Almost surely, 2^103414720 is an apocalyptic number.

103414720 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 103414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947920).

103414720 is an abundant number, since it is smaller than the sum of its proper divisors (160481120).

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

103414720 is a wasteful number, since it uses less digits than its factorization.

103414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 103414720 is about 10169.3028276279. The cubic root of 103414720 is about 469.3831049432.

The spelling of 103414720 in words is "one hundred three million, four hundred fourteen thousand, seven hundred twenty".