100432101 has 32 divisors (see below), whose sum is σ = 169804800. Its totient is φ = 51281280.

The previous prime is 100432093. The next prime is 100432103. The reversal of 100432101 is 101234001.

It is a happy number.

It is not a de Polignac number, because 100432101 - 2³ = 100432093 is a prime.

It is a super-2 number, since 2×100432101² = 20173213822548402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100432103) 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 31 ways as a sum of consecutive naturals, for example, 9945 + ... + 17313.

It is an arithmetic number, because the mean of its divisors is an integer number (5306400).

Almost surely, 2^100432101 is an apocalyptic number.

100432101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100432101 is a deficient number, since it is larger than the sum of its proper divisors (69372699).

100432101 is a wasteful number, since it uses less digits than its factorization.

100432101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100432101 is about 10021.5817613788. The cubic root of 100432101 is about 464.8264677951.

Adding to 100432101 its reverse (101234001), we get a palindrome (201666102).

The spelling of 100432101 in words is "one hundred million, four hundred thirty-two thousand, one hundred one".