103516072 has 64 divisors (see below), whose sum is σ = 218312640. Its totient is φ = 45619200.

The previous prime is 103516067. The next prime is 103516073. The reversal of 103516072 is 270615301.

It is not an unprimeable number, because it can be changed into a prime (103516073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571822 + ... + 572002.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 2^103516072 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 103516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156320).

103516072 is an abundant number, since it is smaller than the sum of its proper divisors (114796568).

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

103516072 is a wasteful number, since it uses less digits than its factorization.

103516072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 103516072 is about 10174.2848397320. The cubic root of 103516072 is about 469.5363951246.

The spelling of 103516072 in words is "one hundred three million, five hundred sixteen thousand, seventy-two".