100045632 has 56 divisors (see below), whose sum is σ = 271877536. Its totient is φ = 32444928.

The previous prime is 100045619. The next prime is 100045637. The reversal of 100045632 is 236540001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100045599 and 100045608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100045637) 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 7 ways as a sum of consecutive naturals, for example, 63 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (4854956).

Almost surely, 2^100045632 is an apocalyptic number.

100045632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135938768).

100045632 is an abundant number, since it is smaller than the sum of its proper divisors (171831904).

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

100045632 is a wasteful number, since it uses less digits than its factorization.

100045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14135 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 100045632 is about 10002.2813397744. The cubic root of 100045632 is about 464.2294742856.

Adding to 100045632 its reverse (236540001), we get a palindrome (336585633).

The spelling of 100045632 in words is "one hundred million, forty-five thousand, six hundred thirty-two".