103563414 has 64 divisors (see below), whose sum is σ = 243974400. Its totient is φ = 32472576.

The previous prime is 103563413. The next prime is 103563443. The reversal of 103563414 is 414365301.

103563414 is a `hidden beast` number, since 10 + 3 + 5 + 634 + 14 = 666.

It is a super-3 number, since 3×103563414³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103563413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197757 + ... + 198279.

It is an arithmetic number, because the mean of its divisors is an integer number (3812100).

Almost surely, 2^103563414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103563414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121987200).

103563414 is an abundant number, since it is smaller than the sum of its proper divisors (140410986).

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

103563414 is a wasteful number, since it uses less digits than its factorization.

103563414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 103563414 is about 10176.6111255172. The cubic root of 103563414 is about 469.6079634127.

The spelling of 103563414 in words is "one hundred three million, five hundred sixty-three thousand, four hundred fourteen".