100235772 has 288 divisors, whose sum is σ = 343203840. Its totient is φ = 25038720.

The previous prime is 100235747. The next prime is 100235777. The reversal of 100235772 is 277532001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100235777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132653 + ... + 2132699.

It is an arithmetic number, because the mean of its divisors is an integer number (1191680).

Almost surely, 2^100235772 is an apocalyptic number.

100235772 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 100235772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

100235772 is an abundant number, since it is smaller than the sum of its proper divisors (242968068).

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

100235772 is a wasteful number, since it uses less digits than its factorization.

100235772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 100235772 is about 10011.7816596248. The cubic root of 100235772 is about 464.5233826096.

Adding to 100235772 its reverse (277532001), we get a palindrome (377767773).

The spelling of 100235772 in words is "one hundred million, two hundred thirty-five thousand, seven hundred seventy-two".