100312640 has 28 divisors (see below), whose sum is σ = 238870236. Its totient is φ = 40124928.

The previous prime is 100312613. The next prime is 100312643. The reversal of 100312640 is 46213001.

It can be written as a sum of positive squares in 2 ways, for example, as 67502656 + 32809984 = 8216^2 + 5728^2 .

It is not an unprimeable number, because it can be changed into a prime (100312643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156419 + ... + 157058.

Almost surely, 2^100312640 is an apocalyptic number.

100312640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312640 is an abundant number, since it is smaller than the sum of its proper divisors (138557596).

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

100312640 is an equidigital number, since it uses as much as digits as its factorization.

100312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313494 (or 313484 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 100312640 is about 10015.6198010907. The cubic root of 100312640 is about 464.6420955833.

Adding to 100312640 its reverse (46213001), we get a palindrome (146525641).

The spelling of 100312640 in words is "one hundred million, three hundred twelve thousand, six hundred forty".