103898592 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 28892160.

The previous prime is 103898591. The next prime is 103898629. The reversal of 103898592 is 295898301.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103898591) 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 31 ways as a sum of consecutive naturals, for example, 247759 + ... + 248177.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^103898592 is an apocalyptic number.

103898592 is a gapful number since it is divisible by the number (12) 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 103898592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

103898592 is an abundant number, since it is smaller than the sum of its proper divisors (251723808).

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

103898592 is a wasteful number, since it uses less digits than its factorization.

103898592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 103898592 is about 10193.0658783312. The cubic root of 103898592 is about 470.1140390246.

It can be divided in two parts, 10389 and 8592, that added together give a palindrome (18981).

The spelling of 103898592 in words is "one hundred three million, eight hundred ninety-eight thousand, five hundred ninety-two".