100310104314 has 72 divisors (see below), whose sum is σ = 256285890900. Its totient is φ = 28267408512.

The previous prime is 100310104313. The next prime is 100310104331. The reversal of 100310104314 is 413401013001.

It can be written as a sum of positive squares in 2 ways, for example, as 100193140089 + 116964225 = 316533^2 + 10815^2 .

It is a super-2 number, since 2×100310104314² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100310104313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 714589 + ... + 843360.

Almost surely, 2^100310104314 is an apocalyptic number.

100310104314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100310104314 is an abundant number, since it is smaller than the sum of its proper divisors (155975786586).

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

100310104314 is a wasteful number, since it uses less digits than its factorization.

100310104314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558044 (or 1558034 counting only the distinct ones).

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

Adding to 100310104314 its reverse (413401013001), we get a palindrome (513711117315).

The spelling of 100310104314 in words is "one hundred billion, three hundred ten million, one hundred four thousand, three hundred fourteen".