100110132 has 18 divisors (see below), whose sum is σ = 253056258. Its totient is φ = 33370032.

The previous prime is 100110121. The next prime is 100110133. The reversal of 100110132 is 231011001.

It can be written as a sum of positive squares in only one way, i.e., 92852496 + 7257636 = 9636^2 + 2694^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390383 + ... + 1390454.

It is an arithmetic number, because the mean of its divisors is an integer number (14058681).

Almost surely, 2^100110132 is an apocalyptic number.

100110132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110132 is an abundant number, since it is smaller than the sum of its proper divisors (152946126).

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

100110132 is a wasteful number, since it uses less digits than its factorization.

100110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780847 (or 2780842 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100110132 is about 10005.5050847021. The cubic root of 100110132 is about 464.3292166666.

Adding to 100110132 its reverse (231011001), we get a palindrome (331121133).

The spelling of 100110132 in words is "one hundred million, one hundred ten thousand, one hundred thirty-two".