102474144 has 144 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 31726080.

The previous prime is 102474143. The next prime is 102474149. The reversal of 102474144 is 441474201.

102474144 is a `hidden beast` number, since 1 + 0 + 247 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (102474143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 333639 + ... + 333945.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^102474144 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 102474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

102474144 is an abundant number, since it is smaller than the sum of its proper divisors (210318336).

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

102474144 is a wasteful number, since it uses less digits than its factorization.

102474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 102474144 is about 10122.9513482976. The cubic root of 102474144 is about 467.9557266906.

The spelling of 102474144 in words is "one hundred two million, four hundred seventy-four thousand, one hundred forty-four".