100235664 has 80 divisors (see below), whose sum is σ = 295536640. Its totient is φ = 32503680.

The previous prime is 100235657. The next prime is 100235669. The reversal of 100235664 is 466532001.

It is a super-3 number, since 3×100235664³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100235669) 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, 12849 + ... + 19119.

It is an arithmetic number, because the mean of its divisors is an integer number (3694208).

Almost surely, 2^100235664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100235664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147768320).

100235664 is an abundant number, since it is smaller than the sum of its proper divisors (195300976).

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

100235664 is a wasteful number, since it uses less digits than its factorization.

100235664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 100235664 is about 10011.7762659780. The cubic root of 100235664 is about 464.5232157745.

Adding to 100235664 its reverse (466532001), we get a palindrome (566767665).

The spelling of 100235664 in words is "one hundred million, two hundred thirty-five thousand, six hundred sixty-four".