100313145 has 24 divisors (see below), whose sum is σ = 174150600. Its totient is φ = 53415936.

The previous prime is 100313113. The next prime is 100313149. The reversal of 100313145 is 541313001.

It can be written as a sum of positive squares in 4 ways, for example, as 393129 + 99920016 = 627^2 + 9996^2 .

It is not a de Polignac number, because 100313145 - 2⁵ = 100313113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100313149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35961 + ... + 38649.

It is an arithmetic number, because the mean of its divisors is an integer number (7256275).

Almost surely, 2^100313145 is an apocalyptic number.

100313145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100313145 is a deficient number, since it is larger than the sum of its proper divisors (73837455).

100313145 is a wasteful number, since it uses less digits than its factorization.

100313145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100313145 is about 10015.6450116805. The cubic root of 100313145 is about 464.6428752919.

Adding to 100313145 its reverse (541313001), we get a palindrome (641626146).

The spelling of 100313145 in words is "one hundred million, three hundred thirteen thousand, one hundred forty-five".