100414332 has 36 divisors (see below), whose sum is σ = 262015936. Its totient is φ = 32391360.

The previous prime is 100414319. The next prime is 100414333. The reversal of 100414332 is 233414001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414333) 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 11 ways as a sum of consecutive naturals, for example, 43873 + ... + 46104.

Almost surely, 2^100414332 is an apocalyptic number.

100414332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100414332 is an abundant number, since it is smaller than the sum of its proper divisors (161601604).

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

100414332 is a wasteful number, since it uses less digits than its factorization.

100414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90018 (or 90013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100414332 is about 10020.6951854649. The cubic root of 100414332 is about 464.7990529594.

Adding to 100414332 its reverse (233414001), we get a palindrome (333828333).

The spelling of 100414332 in words is "one hundred million, four hundred fourteen thousand, three hundred thirty-two".