103349736 has 128 divisors (see below), whose sum is σ = 339552000. Its totient is φ = 28498176.

The previous prime is 103349731. The next prime is 103349747. The reversal of 103349736 is 637943301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103349736.

It is not an unprimeable number, because it can be changed into a prime (103349731) 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, 42670 + ... + 45026.

It is an arithmetic number, because the mean of its divisors is an integer number (2652750).

Almost surely, 2^103349736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103349736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169776000).

103349736 is an abundant number, since it is smaller than the sum of its proper divisors (236202264).

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

103349736 is a wasteful number, since it uses less digits than its factorization.

103349736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 103349736 is about 10166.1072195802. The cubic root of 103349736 is about 469.2847669665.

The spelling of 103349736 in words is "one hundred three million, three hundred forty-nine thousand, seven hundred thirty-six".