100506312 has 128 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 31104000.

The previous prime is 100506299. The next prime is 100506317. The reversal of 100506312 is 213605001.

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

It is not an unprimeable number, because it can be changed into a prime (100506317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370737 + ... + 371007.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900).

Almost surely, 2^100506312 is an apocalyptic number.

100506312 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 100506312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

100506312 is an abundant number, since it is smaller than the sum of its proper divisors (199128888).

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

100506312 is a wasteful number, since it uses less digits than its factorization.

100506312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100506312 is about 10025.2836368853. The cubic root of 100506312 is about 464.9409290207.

The spelling of 100506312 in words is "one hundred million, five hundred six thousand, three hundred twelve".