103768128 has 140 divisors (see below), whose sum is σ = 316498732. Its totient is φ = 33592320.

The previous prime is 103768097. The next prime is 103768201. The reversal of 103768128 is 821867301.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 34012224 = 8352^2 + 5832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103768092 and 103768101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191538 + ... + 192078.

Almost surely, 2^103768128 is an apocalyptic number.

103768128 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 103768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158249366).

103768128 is an abundant number, since it is smaller than the sum of its proper divisors (212730604).

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

103768128 is an equidigital number, since it uses as much as digits as its factorization.

103768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 103768128 is about 10186.6642233854. The cubic root of 103768128 is about 469.9171847446.

The spelling of 103768128 in words is "one hundred three million, seven hundred sixty-eight thousand, one hundred twenty-eight".