103089768 has 96 divisors (see below), whose sum is σ = 278510400. Its totient is φ = 31787008.

The previous prime is 103089743. The next prime is 103089769. The reversal of 103089768 is 867980301.

It is not an unprimeable number, because it can be changed into a prime (103089769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617221 + ... + 617387.

It is an arithmetic number, because the mean of its divisors is an integer number (2901150).

Almost surely, 2^103089768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103089768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139255200).

103089768 is an abundant number, since it is smaller than the sum of its proper divisors (175420632).

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

103089768 is a wasteful number, since it uses less digits than its factorization.

103089768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 103089768 is about 10153.3131538429. The cubic root of 103089768 is about 468.8909538063.

The spelling of 103089768 in words is "one hundred three million, eighty-nine thousand, seven hundred sixty-eight".