103855128 has 64 divisors (see below), whose sum is σ = 280680960. Its totient is φ = 31833216.

The previous prime is 103855127. The next prime is 103855133. The reversal of 103855128 is 821558301.

It is a happy number.

It is a super-2 number, since 2×103855128² = 21571775223792768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103855127) 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, 114051 + ... + 114957.

It is an arithmetic number, because the mean of its divisors is an integer number (4385640).

Almost surely, 2^103855128 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 103855128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140340480).

103855128 is an abundant number, since it is smaller than the sum of its proper divisors (176825832).

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

103855128 is a wasteful number, since it uses less digits than its factorization.

103855128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 103855128 is about 10190.9336176819. The cubic root of 103855128 is about 470.0484754588.

The spelling of 103855128 in words is "one hundred three million, eight hundred fifty-five thousand, one hundred twenty-eight".