103967552 has 112 divisors (see below), whose sum is σ = 238963200. Its totient is φ = 44513280.

The previous prime is 103967531. The next prime is 103967557. The reversal of 103967552 is 255769301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103967557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747899 + ... + 748037.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^103967552 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 103967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119481600).

103967552 is an abundant number, since it is smaller than the sum of its proper divisors (134995648).

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

103967552 is a wasteful number, since it uses less digits than its factorization.

103967552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 103967552 is about 10196.4480089882. The cubic root of 103967552 is about 470.2180246954.

The spelling of 103967552 in words is "one hundred three million, nine hundred sixty-seven thousand, five hundred fifty-two".