103806450 has 144 divisors (see below), whose sum is σ = 309774816. Its totient is φ = 24710400.

The previous prime is 103806389. The next prime is 103806463. The reversal of 103806450 is 54608301.

103806450 is a `hidden beast` number, since 10 + 3 + 8 + 0 + 645 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331494 + ... + 331806.

It is an arithmetic number, because the mean of its divisors is an integer number (2151214).

Almost surely, 2^103806450 is an apocalyptic number.

103806450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103806450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154887408).

103806450 is an abundant number, since it is smaller than the sum of its proper divisors (205968366).

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

103806450 is a wasteful number, since it uses less digits than its factorization.

103806450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103806450 is about 10188.5450384243. The cubic root of 103806450 is about 469.9750250800.

The spelling of 103806450 in words is "one hundred three million, eight hundred six thousand, four hundred fifty".