100312000 has 56 divisors (see below), whose sum is σ = 248442480. Its totient is φ = 40121600.

The previous prime is 100311997. The next prime is 100312007. The reversal of 100312000 is 213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312007) 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, 1731 + ... + 14269.

Almost surely, 2^100312000 is an apocalyptic number.

100312000 is a gapful number since it is divisible by the number (10) 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 100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221240).

100312000 is an abundant number, since it is smaller than the sum of its proper divisors (148130480).

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

100312000 is an equidigital number, since it uses as much as digits as its factorization.

100312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100312000 is about 10015.5878509451. The cubic root of 100312000 is about 464.6411074341.

Adding to 100312000 its reverse (213001), we get a palindrome (100525001).

The spelling of 100312000 in words is "one hundred million, three hundred twelve thousand".