100312641 has 32 divisors (see below), whose sum is σ = 174599040. Its totient is φ = 56116800.

The previous prime is 100312613. The next prime is 100312643. The reversal of 100312641 is 146213001.

It is a happy number.

100312641 is a `hidden beast` number, since 10 + 0 + 3 + 12 + 641 = 666.

It is not a de Polignac number, because 100312641 - 2⁶ = 100312577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100312643) 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, 9130 + ... + 16851.

It is an arithmetic number, because the mean of its divisors is an integer number (5456220).

Almost surely, 2^100312641 is an apocalyptic number.

100312641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100312641 is a deficient number, since it is larger than the sum of its proper divisors (74286399).

100312641 is a wasteful number, since it uses less digits than its factorization.

100312641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26014 (or 26008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100312641 is about 10015.6198510127. The cubic root of 100312641 is about 464.6420971273.

Adding to 100312641 its reverse (146213001), we get a palindrome (246525642).

The spelling of 100312641 in words is "one hundred million, three hundred twelve thousand, six hundred forty-one".