100013088 has 48 divisors (see below), whose sum is σ = 300041280. Its totient is φ = 28574976.

The previous prime is 100013087. The next prime is 100013113. The reversal of 100013088 is 880310001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100013087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73743 + ... + 75086.

It is an arithmetic number, because the mean of its divisors is an integer number (6250860).

Almost surely, 2^100013088 is an apocalyptic number.

It is an amenable number.

100013088 is an abundant number, since it is smaller than the sum of its proper divisors (200028192).

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

100013088 is a wasteful number, since it uses less digits than its factorization.

100013088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148849 (or 148841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100013088 is about 10000.6543785894. The cubic root of 100013088 is about 464.1791321828.

Adding to 100013088 its reverse (880310001), we get a palindrome (980323089).

The spelling of 100013088 in words is "one hundred million, thirteen thousand, eighty-eight".