100345212 has 72 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 30172320.

The previous prime is 100345211. The next prime is 100345229. The reversal of 100345212 is 212543001.

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 (100345211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54133 + ... + 55955.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^100345212 is an apocalyptic number.

100345212 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 100345212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

100345212 is an abundant number, since it is smaller than the sum of its proper divisors (178507908).

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

100345212 is a wasteful number, since it uses less digits than its factorization.

100345212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100345212 is about 10017.2457292411. The cubic root of 100345212 is about 464.6923806540.

Adding to 100345212 its reverse (212543001), we get a palindrome (312888213).

The spelling of 100345212 in words is "one hundred million, three hundred forty-five thousand, two hundred twelve".