100141314 has 64 divisors (see below), whose sum is σ = 253214976. Its totient is φ = 25691904.

The previous prime is 100141313. The next prime is 100141337. The reversal of 100141314 is 413141001.

It is a junction number, because it is equal to n+sod(n) for n = 100141293 and 100141302.

It is not an unprimeable number, because it can be changed into a prime (100141313) 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, 17724 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (3956484).

Almost surely, 2^100141314 is an apocalyptic number.

100141314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100141314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126607488).

100141314 is an abundant number, since it is smaller than the sum of its proper divisors (153073662).

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

100141314 is a wasteful number, since it uses less digits than its factorization.

100141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100141314 is about 10007.0632055564. The cubic root of 100141314 is about 464.3774209470.

Adding to 100141314 its reverse (413141001), we get a palindrome (513282315).

It can be divided in two parts, 1001 and 41314, that multiplied together give a palindrome (41355314).

The spelling of 100141314 in words is "one hundred million, one hundred forty-one thousand, three hundred fourteen".