100935252 has 36 divisors (see below), whose sum is σ = 278337696. Its totient is φ = 30586320.

The previous prime is 100935251. The next prime is 100935257. The reversal of 100935252 is 252539001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100935251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127048 + ... + 127839.

Almost surely, 2^100935252 is an apocalyptic number.

100935252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100935252 is an abundant number, since it is smaller than the sum of its proper divisors (177402444).

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

100935252 is a wasteful number, since it uses less digits than its factorization.

100935252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254908 (or 254903 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 100935252 is about 10046.6537712813. The cubic root of 100935252 is about 465.6014139788.

The spelling of 100935252 in words is "one hundred million, nine hundred thirty-five thousand, two hundred fifty-two".