100614144 has 120 divisors (see below), whose sum is σ = 283106880. Its totient is φ = 31719424.

The previous prime is 100614119. The next prime is 100614161. The reversal of 100614144 is 441416001.

It is a self number, because there is not a number n which added to its sum of digits gives 100614144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130452 + ... + 1130540.

It is an arithmetic number, because the mean of its divisors is an integer number (2359224).

Almost surely, 2^100614144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141553440).

100614144 is an abundant number, since it is smaller than the sum of its proper divisors (182492736).

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

100614144 is an frugal number, since it uses more digits than its factorization.

100614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100614144 is about 10030.6601976141. The cubic root of 100614144 is about 465.1071460805.

The spelling of 100614144 in words is "one hundred million, six hundred fourteen thousand, one hundred forty-four".