100380144 has 40 divisors (see below), whose sum is σ = 259782480. Its totient is φ = 33399808.

The previous prime is 100380143. The next prime is 100380167. The reversal of 100380144 is 441083001.

It is a self number, because there is not a number n which added to its sum of digits gives 100380144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100380143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30952 + ... + 34040.

It is an arithmetic number, because the mean of its divisors is an integer number (6494562).

Almost surely, 2^100380144 is an apocalyptic number.

It is an amenable number.

100380144 is an abundant number, since it is smaller than the sum of its proper divisors (159402336).

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

100380144 is a wasteful number, since it uses less digits than its factorization.

100380144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3771 counting only the distinct ones).

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

The square root of 100380144 is about 10018.9891705701. The cubic root of 100380144 is about 464.7462970315.

The spelling of 100380144 in words is "one hundred million, three hundred eighty thousand, one hundred forty-four".