103192128 has 84 divisors (see below), whose sum is σ = 318557148. Its totient is φ = 31749120.

The previous prime is 103192109. The next prime is 103192169. The reversal of 103192128 is 821291301.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 67765824 = 5952^2 + 8232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 14378.

It is an arithmetic number, because the mean of its divisors is an integer number (3792347).

Almost surely, 2^103192128 is an apocalyptic number.

103192128 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 103192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159278574).

103192128 is an abundant number, since it is smaller than the sum of its proper divisors (215365020).

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

103192128 is a wasteful number, since it uses less digits than its factorization.

103192128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13812 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 103192128 is about 10158.3526223497. The cubic root of 103192128 is about 469.0460930356.

The spelling of 103192128 in words is "one hundred three million, one hundred ninety-two thousand, one hundred twenty-eight".