103126624 has 48 divisors (see below), whose sum is σ = 216040608. Its totient is φ = 48289792.

The previous prime is 103126609. The next prime is 103126627. The reversal of 103126624 is 426621301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103126627) 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 7 ways as a sum of consecutive naturals, for example, 159069 + ... + 159715.

It is an arithmetic number, because the mean of its divisors is an integer number (4500846).

Almost surely, 2^103126624 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 103126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108020304).

103126624 is an abundant number, since it is smaller than the sum of its proper divisors (112913984).

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

103126624 is a wasteful number, since it uses less digits than its factorization.

103126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 103126624 is about 10155.1279657127. The cubic root of 103126624 is about 468.9468254551.

Adding to 103126624 its reverse (426621301), we get a palindrome (529747925).

The spelling of 103126624 in words is "one hundred three million, one hundred twenty-six thousand, six hundred twenty-four".