103290768 has 80 divisors (see below), whose sum is σ = 338847360. Its totient is φ = 29510784.

The previous prime is 103290763. The next prime is 103290797. The reversal of 103290768 is 867092301.

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 (103290763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14055 + ... + 20102.

It is an arithmetic number, because the mean of its divisors is an integer number (4235592).

Almost surely, 2^103290768 is an apocalyptic number.

103290768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103290768 is an abundant number, since it is smaller than the sum of its proper divisors (235556592).

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

103290768 is a wasteful number, since it uses less digits than its factorization.

103290768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34181 (or 34169 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 103290768 is about 10163.2065806024. The cubic root of 103290768 is about 469.1954971082.

The spelling of 103290768 in words is "one hundred three million, two hundred ninety thousand, seven hundred sixty-eight".