103349520 has 200 divisors, whose sum is σ = 368648280. Its totient is φ = 26818560.

The previous prime is 103349513. The next prime is 103349539. The reversal of 103349520 is 25943301.

103349520 is a `hidden beast` number, since 103 + 34 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 102333456 = 1008^2 + 10116^2 .

It is a super-2 number, since 2×103349520² = 21362246568460800, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265486 + ... + 265874.

Almost surely, 2^103349520 is an apocalyptic number.

103349520 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 103349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

103349520 is an abundant number, since it is smaller than the sum of its proper divisors (265298760).

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

103349520 is a wasteful number, since it uses less digits than its factorization.

103349520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103349520 is about 10166.0965960392. The cubic root of 103349520 is about 469.2844400326.

The spelling of 103349520 in words is "one hundred three million, three hundred forty-nine thousand, five hundred twenty".