100558128 has 120 divisors (see below), whose sum is σ = 301498560. Its totient is φ = 28636160.

The previous prime is 100558103. The next prime is 100558147. The reversal of 100558128 is 821855001.

It is a super-2 number, since 2×100558128² = 20223874213728768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100558095 and 100558104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152263 + ... + 152921.

It is an arithmetic number, because the mean of its divisors is an integer number (2512488).

Almost surely, 2^100558128 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 100558128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150749280).

100558128 is an abundant number, since it is smaller than the sum of its proper divisors (200940432).

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

100558128 is a wasteful number, since it uses less digits than its factorization.

100558128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 100558128 is about 10027.8675699273. The cubic root of 100558128 is about 465.0208153475.

The spelling of 100558128 in words is "one hundred million, five hundred fifty-eight thousand, one hundred twenty-eight".