102420144 has 120 divisors (see below), whose sum is σ = 301379520. Its totient is φ = 32431104.

The previous prime is 102420137. The next prime is 102420151. The reversal of 102420144 is 441024201.

102420144 is a `hidden beast` number, since 102 + 420 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (102420137) and next prime (102420151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250212 + ... + 250620.

It is an arithmetic number, because the mean of its divisors is an integer number (2511496).

Almost surely, 2^102420144 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 102420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150689760).

102420144 is an abundant number, since it is smaller than the sum of its proper divisors (198959376).

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

102420144 is a wasteful number, since it uses less digits than its factorization.

102420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102420144 is about 10120.2837904873. The cubic root of 102420144 is about 467.8735139221.

Adding to 102420144 its reverse (441024201), we get a palindrome (543444345).

The spelling of 102420144 in words is "one hundred two million, four hundred twenty thousand, one hundred forty-four".