100312305 has 64 divisors (see below), whose sum is σ = 178848000. Its totient is φ = 47803392.

The previous prime is 100312297. The next prime is 100312307. The reversal of 100312305 is 503213001.

It is a happy number.

It is not a de Polignac number, because 100312305 - 2³ = 100312297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100312307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437931 + ... + 438159.

It is an arithmetic number, because the mean of its divisors is an integer number (2794500).

Almost surely, 2^100312305 is an apocalyptic number.

100312305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100312305 is a deficient number, since it is larger than the sum of its proper divisors (78535695).

100312305 is a wasteful number, since it uses less digits than its factorization.

100312305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100312305 is about 10015.6030771991. The cubic root of 100312305 is about 464.6415783495.

Adding to 100312305 its reverse (503213001), we get a palindrome (603525306).

The spelling of 100312305 in words is "one hundred million, three hundred twelve thousand, three hundred five".