100242312 has 32 divisors (see below), whose sum is σ = 251553600. Its totient is φ = 33287744.

The previous prime is 100242301. The next prime is 100242323. The reversal of 100242312 is 213242001.

It is an interprime number because it is at equal distance from previous prime (100242301) and next prime (100242323).

It is a super-2 number, since 2×100242312² = 20097042230210688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100242291 and 100242300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (7861050).

Almost surely, 2^100242312 is an apocalyptic number.

100242312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100242312 is an abundant number, since it is smaller than the sum of its proper divisors (151311288).

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

100242312 is a wasteful number, since it uses less digits than its factorization.

100242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100242312 is about 10012.1082694905. The cubic root of 100242312 is about 464.5334851801.

Adding to 100242312 its reverse (213242001), we get a palindrome (313484313).

The spelling of 100242312 in words is "one hundred million, two hundred forty-two thousand, three hundred twelve".