100142181 has 6 divisors (see below), whose sum is σ = 144649830. Its totient is φ = 66761448.

The previous prime is 100142149. The next prime is 100142197. The reversal of 100142181 is 181241001.

It can be written as a sum of positive squares in only one way, i.e., 56700900 + 43441281 = 7530^2 + 6591^2 .

It is not a de Polignac number, because 100142181 - 2⁵ = 100142149 is a prime.

It is a super-2 number, since 2×100142181² = 20056912830873522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142381) 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 5 ways as a sum of consecutive naturals, for example, 5563446 + ... + 5563463.

It is an arithmetic number, because the mean of its divisors is an integer number (24108305).

Almost surely, 2^100142181 is an apocalyptic number.

It is an amenable number.

100142181 is a deficient number, since it is larger than the sum of its proper divisors (44507649).

100142181 is a wasteful number, since it uses less digits than its factorization.

100142181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126915 (or 11126912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 100142181 is about 10007.1065248652. The cubic root of 100142181 is about 464.3787611000.

Adding to 100142181 its reverse (181241001), we get a palindrome (281383182).

The spelling of 100142181 in words is "one hundred million, one hundred forty-two thousand, one hundred eighty-one".