100314140 has 48 divisors (see below), whose sum is σ = 219227904. Its totient is φ = 38515200.

The previous prime is 100314139. The next prime is 100314143. The reversal of 100314140 is 41413001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84350 + ... + 85530.

It is an arithmetic number, because the mean of its divisors is an integer number (4567248).

Almost surely, 2^100314140 is an apocalyptic number.

100314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109613952).

100314140 is an abundant number, since it is smaller than the sum of its proper divisors (118913764).

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

100314140 is a wasteful number, since it uses less digits than its factorization.

100314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100314140 is about 10015.6946838450. The cubic root of 100314140 is about 464.6444115416.

Adding to 100314140 its reverse (41413001), we get a palindrome (141727141).

The spelling of 100314140 in words is "one hundred million, three hundred fourteen thousand, one hundred forty".