102267144 has 128 divisors (see below), whose sum is σ = 327168000. Its totient is φ = 28994112.

The previous prime is 102267097. The next prime is 102267163. The reversal of 102267144 is 441762201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361227 + ... + 361509.

It is an arithmetic number, because the mean of its divisors is an integer number (2556000).

Almost surely, 2^102267144 is an apocalyptic number.

102267144 is a gapful number since it is divisible by the number (14) 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 102267144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163584000).

102267144 is an abundant number, since it is smaller than the sum of its proper divisors (224900856).

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

102267144 is a wasteful number, since it uses less digits than its factorization.

102267144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102267144 is about 10112.7218887894. The cubic root of 102267144 is about 467.6404207045.

The spelling of 102267144 in words is "one hundred two million, two hundred sixty-seven thousand, one hundred forty-four".