100541088 has 120 divisors (see below), whose sum is σ = 300041280. Its totient is φ = 33022080.

The previous prime is 100541087. The next prime is 100541093. The reversal of 100541088 is 880145001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100541083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204523 + ... + 205013.

It is an arithmetic number, because the mean of its divisors is an integer number (2500344).

Almost surely, 2^100541088 is an apocalyptic number.

100541088 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 100541088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150020640).

100541088 is an abundant number, since it is smaller than the sum of its proper divisors (199500192).

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

100541088 is an equidigital number, since it uses as much as digits as its factorization.

100541088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 100541088 is about 10027.0179016495. The cubic root of 100541088 is about 464.9945472826.

Adding to 100541088 its reverse (880145001), we get a palindrome (980686089).

The spelling of 100541088 in words is "one hundred million, five hundred forty-one thousand, eighty-eight".