103389792 has 96 divisors (see below), whose sum is σ = 311713920. Its totient is φ = 29675520.

The previous prime is 103389791. The next prime is 103389809. The reversal of 103389792 is 297983301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103389791) 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, 17488 + ... + 22640.

It is an arithmetic number, because the mean of its divisors is an integer number (3247020).

Almost surely, 2^103389792 is an apocalyptic number.

103389792 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 103389792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155856960).

103389792 is an abundant number, since it is smaller than the sum of its proper divisors (208324128).

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

103389792 is a wasteful number, since it uses less digits than its factorization.

103389792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 103389792 is about 10168.0771043497. The cubic root of 103389792 is about 469.3453871589.

The spelling of 103389792 in words is "one hundred three million, three hundred eighty-nine thousand, seven hundred ninety-two".