100838352 has 40 divisors (see below), whose sum is σ = 266857920. Its totient is φ = 32792320.

The previous prime is 100838347. The next prime is 100838363. The reversal of 100838352 is 253838001.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23652 + ... + 27587.

It is an arithmetic number, because the mean of its divisors is an integer number (6671448).

Almost surely, 2^100838352 is an apocalyptic number.

100838352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100838352 is an abundant number, since it is smaller than the sum of its proper divisors (166019568).

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

100838352 is a wasteful number, since it uses less digits than its factorization.

100838352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51291 (or 51285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 100838352 is about 10041.8301120861. The cubic root of 100838352 is about 465.4523705028.

The spelling of 100838352 in words is "one hundred million, eight hundred thirty-eight thousand, three hundred fifty-two".