100803312 has 40 divisors (see below), whose sum is σ = 289344080. Its totient is φ = 33600960.

The previous prime is 100803301. The next prime is 100803317. The reversal of 100803312 is 213308001.

It is a super-2 number, since 2×100803312² = 20322615420338688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100803317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116239 + ... + 117102.

It is an arithmetic number, because the mean of its divisors is an integer number (7233602).

Almost surely, 2^100803312 is an apocalyptic number.

100803312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100803312 is an abundant number, since it is smaller than the sum of its proper divisors (188540768).

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

100803312 is a wasteful number, since it uses less digits than its factorization.

100803312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233358 (or 233346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100803312 is about 10040.0852586021. The cubic root of 100803312 is about 465.3984513996.

The spelling of 100803312 in words is "one hundred million, eight hundred three thousand, three hundred twelve".