100567128 has 64 divisors (see below), whose sum is σ = 262310400. Its totient is φ = 32090240.

The previous prime is 100567127. The next prime is 100567151. The reversal of 100567128 is 821765001.

It is a super-2 number, since 2×100567128² = 20227494468336768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100567095 and 100567104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100567127) 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, 90625 + ... + 91727.

It is an arithmetic number, because the mean of its divisors is an integer number (4098600).

Almost surely, 2^100567128 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 100567128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131155200).

100567128 is an abundant number, since it is smaller than the sum of its proper divisors (161743272).

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

100567128 is a wasteful number, since it uses less digits than its factorization.

100567128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 100567128 is about 10028.3163093313. The cubic root of 100567128 is about 465.0346881280.

The spelling of 100567128 in words is "one hundred million, five hundred sixty-seven thousand, one hundred twenty-eight".