103334688 has 54 divisors (see below), whose sum is σ = 294349419. Its totient is φ = 34387392.

The previous prime is 103334669. The next prime is 103334689. The reversal of 103334688 is 886433301.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 51667344 + 51667344 = 7188^2 + 7188^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7188.

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

It is not an unprimeable number, because it can be changed into a prime (103334689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172213 + ... + 172811.

Almost surely, 2^103334688 is an apocalyptic number.

103334688 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 103334688

103334688 is an abundant number, since it is smaller than the sum of its proper divisors (191014731).

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

103334688 is an frugal number, since it uses more digits than its factorization.

103334688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 103334688 is about 10165.3670863378. The cubic root of 103334688 is about 469.2619894855.

Multiplying 103334688 by its product of nonzero digits (41472), we get a square (4285496180736 = 2070144²).

Adding to 103334688 its reverse (886433301), we get a palindrome (989767989).

It can be divided in two parts, 1033 and 34688, that added together give a square (35721 = 189²).

The spelling of 103334688 in words is "one hundred three million, three hundred thirty-four thousand, six hundred eighty-eight".