103650768 has 120 divisors (see below), whose sum is σ = 330869448. Its totient is φ = 30007296.

The previous prime is 103650761. The next prime is 103650791. The reversal of 103650768 is 867056301.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 75898944 = 5268^2 + 8712^2 .

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 (103650761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30196 + ... + 33452.

Almost surely, 2^103650768 is an apocalyptic number.

103650768 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 103650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165434724).

103650768 is an abundant number, since it is smaller than the sum of its proper divisors (227218680).

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

103650768 is a wasteful number, since it uses less digits than its factorization.

103650768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 103650768 is about 10180.9021211286. The cubic root of 103650768 is about 469.7399617829.

The spelling of 103650768 in words is "one hundred three million, six hundred fifty thousand, seven hundred sixty-eight".