103392288 has 120 divisors (see below), whose sum is σ = 307633788. Its totient is φ = 34062336.

The previous prime is 103392287. The next prime is 103392293. The reversal of 103392288 is 882293301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89643024 + 13749264 = 9468^2 + 3708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103392287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292720 + ... + 293072.

Almost surely, 2^103392288 is an apocalyptic number.

103392288 is a gapful number since it is divisible by the number (18) 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 103392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153816894).

103392288 is an abundant number, since it is smaller than the sum of its proper divisors (204241500).

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

103392288 is a wasteful number, since it uses less digits than its factorization.

103392288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103392288 is about 10168.1998406798. The cubic root of 103392288 is about 469.3491640522.

It can be divided in two parts, 10339 and 2288, that multiplied together give a palindrome (23655632).

The spelling of 103392288 in words is "one hundred three million, three hundred ninety-two thousand, two hundred eighty-eight".