100134528 has 96 divisors (see below), whose sum is σ = 288203040. Its totient is φ = 30790656.

The previous prime is 100134527. The next prime is 100134553. The reversal of 100134528 is 825431001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100134498 and 100134507.

It is not an unprimeable number, because it can be changed into a prime (100134521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64125 + ... + 65667.

It is an arithmetic number, because the mean of its divisors is an integer number (3002115).

Almost surely, 2^100134528 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 100134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144101520).

100134528 is an abundant number, since it is smaller than the sum of its proper divisors (188068512).

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

100134528 is a wasteful number, since it uses less digits than its factorization.

100134528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100134528 is about 10006.7241392975. The cubic root of 100134528 is about 464.3669313158.

Adding to 100134528 its reverse (825431001), we get a palindrome (925565529).

It can be divided in two parts, 10013 and 4528, that added together give a palindrome (14541).

The spelling of 100134528 in words is "one hundred million, one hundred thirty-four thousand, five hundred twenty-eight".