14374007100 has 108 divisors (see below), whose sum is σ = 45353329840. Its totient is φ = 3807648000.

The previous prime is 14374007083. The next prime is 14374007117. The reversal of 14374007100 is 170047341.

14374007100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14374007083) and next prime (14374007117).

It is a super-2 number, since 2×14374007100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83016 + ... + 188784.

Almost surely, 2^14374007100 is an apocalyptic number.

14374007100 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 14374007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676664920).

14374007100 is an abundant number, since it is smaller than the sum of its proper divisors (30979322740).

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

14374007100 is a wasteful number, since it uses less digits than its factorization.

14374007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105940 (or 105930 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 14374007100 in words is "fourteen billion, three hundred seventy-four million, seven thousand, one hundred".