100289232 has 80 divisors (see below), whose sum is σ = 291439680. Its totient is φ = 33015168.

The previous prime is 100289219. The next prime is 100289237. The reversal of 100289232 is 232982001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100289196 and 100289205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100289237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34458 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (3642996).

Almost surely, 2^100289232 is an apocalyptic number.

100289232 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 100289232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145719840).

100289232 is an abundant number, since it is smaller than the sum of its proper divisors (191150448).

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

100289232 is a wasteful number, since it uses less digits than its factorization.

100289232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100289232 is about 10014.4511582013. The cubic root of 100289232 is about 464.6059512906.

The spelling of 100289232 in words is "one hundred million, two hundred eighty-nine thousand, two hundred thirty-two".