102550144 has 64 divisors (see below), whose sum is σ = 217260000. Its totient is φ = 48079872.

The previous prime is 102550121. The next prime is 102550153. The reversal of 102550144 is 441055201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362227 + ... + 362509.

Almost surely, 2^102550144 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 102550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108630000).

102550144 is an abundant number, since it is smaller than the sum of its proper divisors (114709856).

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

102550144 is a wasteful number, since it uses less digits than its factorization.

102550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 102550144 is about 10126.7044985030. The cubic root of 102550144 is about 468.0713846354.

The spelling of 102550144 in words is "one hundred two million, five hundred fifty thousand, one hundred forty-four".